Found 717 Documents (Results 1–100)
Allen-Cahn equation based on an unconstrained order parameter with source term and its Cahn-Hilliard limit. (English) Zbl 07924004
Balance laws with singular source term and applications to fluid dynamics. (English) Zbl 07921386
Parés, Carlos (ed.) et al., Hyperbolic problems: theory, numerics, applications, HYP2022. Proceedings of the XVIII international conference, Málaga, Spain, June 20–24, 2022. Volume II. Cham: Springer. SEMA SIMAI Springer Ser. 35, 313-323 (2024).
MSC:
35Lxx
Growth of solutions for a system of nonlocal singular viscoelastic equation with sources and distributed delay terms. (English) Zbl 07920734
High-order BDF convolution quadrature for fractional evolution equations with hyper-singular source term. (English) Zbl 07915983
Recovering initial population density of fractional pseudo-parabolic problem associated with a nonlinear reaction. (English) Zbl 07914779
Efficient finite element method for 2D singularly perturbed parabolic convection diffusion problems with discontinuous source term. (English) Zbl 07910931
Local exact controllability to the steady states of a parabolic system with coupled nonlinear boundary conditions. (English) Zbl 07897762
Blow-up of solutions for a system of nonlocal singular viscoelastic equations with sources and distributed delay terms. (English) Zbl 07897003
Identification of source term in a nonlinear degenerate parabolic equation with memory. (English) Zbl 07893332
Numerical simulation of turbulent premixed flames with the conditional source-term estimation model using Bernstein polynomial expansion. (English) Zbl 07892271
General energy decay estimates for a variable coefficient viscoelastic semilinear wave equation with logarithmic source term and acoustic boundary conditions. (English) Zbl 07883062
Trefftz discontinuous Galerkin discretization for the Stokes problem. (English) Zbl 07872229
Reviewer: Alain Brillard (Riedisheim)
Simultaneous inversion of the source term and initial value of the time fractional diffusion equation. (English) Zbl 07868766
A modified Rusanov method for simulating two-layer shallow water flows with irregular topography. (English) Zbl 07846898
Uniqueness and numerical method for determining a spatial source term in a time-fractional diffusion wave equation. (English) Zbl 07839669
Alternating direction multiplier method to estimate an unknown source term in the time-fractional diffusion equation. (English) Zbl 07801641
Crank-Nicolson schemes for sub-diffusion equations with nonsingular and singular source terms in time. (English) Zbl 1531.65190
An equidistributed grid-based second-order scheme for a singularly perturbed Fredholm integro-differential equation with an interior layer. (English) Zbl 07764820
Global nonexistence of solutions to a logarithmic nonlinear wave equation with infinite memory and delay term. (English) Zbl 07897368
Local existence and blow up of solutions to a logarithmic nonlinear wave equation with time-varying delay. (English) Zbl 07897320
Clausius theorem for hyperbolic scalar conservation laws. (English) Zbl 1537.60074
Reviewer: Javad Asadzade (Famagusta)
Numerical treatment for a coupled system of singularly perturbed reaction-diffusion equations with Robin boundary conditions and having boundary and interior layers. (English) Zbl 1539.76133
Sharma, Rajesh Kumar (ed.) et al., Frontiers in industrial and applied mathematics. Selected papers based on the presentations at the 4th international conference, FIAM-2021, Punjab, India, December 21–22, 2021. Singapore: Springer. Springer Proc. Math. Stat. 410, 629-645 (2023).
A novel identification scheme of an inverse source problem based on Hilbert reproducing kernels. (English) Zbl 1535.65172
Laghrib, Amine (ed.) et al., New trends of mathematical inverse problems and applications. ICNTAM 2022. Selected papers based on the presentations at the international conference, Béni Mellal, Morocco, May 19–21, 2022. Cham: Springer. Springer Proc. Math. Stat. 428, 157-175 (2023).
The entropy fix in augmented Riemann solvers in presence of source terms: application to the shallow water equations. (English) Zbl 1539.76029
Relaxation process in an immiscible three-phase flow model. (English) Zbl 1534.65156
Franck, Emmanuel (ed.) et al., Finite volumes for complex applications X – Volume 2. Hyperbolic and related problems. FVCA10, Strasbourg, France, October 30 – November 3, 2023. Cham: Springer. Springer Proc. Math. Stat. 433, 191-200 (2023).
Reviewer: Abdallah Bradji (Annaba)
Galerkin spectral method for a multi-term time-fractional diffusion equation and an application to inverse source problem. (English) Zbl 1535.65174
Global nonexistence of solution for a nonlinear Klein-Gordon equation with strong damping, distributed delay and source terms. (English) Zbl 1538.35094
A new well-balanced finite volume CWENO scheme for shallow water equations over bottom topography. (English) Zbl 07787032
MSC:
76-XX
Boundary controllability of a simplified stabilized Kuramoto-Sivashinsky system. (English) Zbl 1530.93029
Source term identification of time-fractional diffusion equation under Robin boundary condition. (English) Zbl 07782377
An asymptotic preserving scheme for the shallow-water equations with Manning friction using viscous correction of the HLL scheme. (English) Zbl 1535.76068
Reviewer: Denys Dutykh (Le Bourget-du-Lac)
On the hyperbolic relaxation of the Cahn-Hilliard equation with a mass source. (English) Zbl 1528.35211
High-order BDF convolution quadrature for subdiffusion models with a singular source term. (English) Zbl 1537.65117
Optimal temperature distribution for a nonisothermal Cahn-Hilliard system in two dimensions with source term and double obstacle potential. (English) Zbl 1538.35404
Performance of passive scalar method in heat transfer simulation of a two-dimensional droplet focusing on the parasitic temperatures. (English) Zbl 1536.76138
Reviewer: Aleksey Syromyasov (Saransk)
On the self-similar behavior of coagulation systems with injection. (English) Zbl 1532.45013
Reviewer: Dimplekumar Chalishajar (Lexington)
Singular solutions to the Riemann problem for the pressureless Euler equations with discontinuous source term. (English) Zbl 1527.35249
Optimal temperature distribution for a nonisothermal Cahn-Hilliard system with source term. (English) Zbl 1522.35309
A quadratic B-spline collocation method for a singularly perturbed semilinear reaction-diffusion problem with discontinuous source term. (English) Zbl 1519.65017
Revisiting the second-order convergence of the lattice Boltzmann method with reaction-type source terms. (English) Zbl 1538.76133
Fitted mesh numerical method for a coupled system of singularly perturbed reaction-diffusion Robin boundary value problem having boundary and internal layers. (English) Zbl 1517.65069
Simultaneous inversion of the space-dependent source term and the initial value in a time-fractional diffusion equation. (English) Zbl 1519.35370
Well-posedness and stability for an abstract evolution equation with history memory and time delay in Hilbert space. (English) Zbl 1520.35011
Reviewer: Kaïs Ammari (Monastir)
Life span bounds for reaction-diffusion equation with a space-time integral source term. (English) Zbl 1533.35039
Reviewer: Halima Nachid (Abidjan)
Non-equilibrium stationary solutions for multicomponent coagulation systems with injection. (English) Zbl 07707846
Asymptotic stability for a viscoelastic equation with the time-varying delay. (English) Zbl 1525.35034
Reviewer: Jin Liang (Shanghai)
Analysis of dissipation operators that damp spurious modes while maintaining discrete approximate geostrophic equilibriums for the B-grid staggered scheme on triangular meshes. (English) Zbl 07705902
A computational method for a two-parameter singularly perturbed elliptic problem with boundary and interior layers. (English) Zbl 1540.65460
A fitted numerical method for a singularly perturbed Fredholm integro-differential equation with discontinuous source term. (English) Zbl 1522.65132
Existence and decay for the logarithmic Lamé system with internal distributed delay. (English) Zbl 1517.35049
Numerical solution of singularly perturbed 2-D convection-diffusion elliptic interface PDEs with Robin-type boundary conditions. (English) Zbl 07692030
Weak comparison principles for fully nonlinear degenerate parabolic equations with discontinuous source terms. (English) Zbl 1514.35071
Delta-shock waves and Riemann solutions to the generalized pressureless Euler equations with a composite source term. (English) Zbl 1514.35341
Local null-controllability of a system coupling Kuramoto-Sivashinsky-KdV and elliptic equations. (English) Zbl 1512.93016
Existence and stability results of nonlinear higher-order wave equation with a nonlinear source term and a delay term. (English) Zbl 1524.35077
Extending EB3 scheme for the differential conservation law from node-centered to cell-centered control volumes. I: Basic formula on regular cells. (English) Zbl 1527.65078
Global existence and stability of solution for a \(p\)-Kirchhoff type hyperbolic equation with damping and source terms. (English) Zbl 07858107
Asymptotics of solutions to periodic problem for the Korteweg-de Vries-Burgers equation. (English) Zbl 1530.35257
Reviewer: Piotr Biler (Wrocław)
Numerical analysis for a class of coupled system of singularly perturbed time-dependent convection-diffusion equations with a discontinuous source term. (English) Zbl 1533.65128
Some well-posed results on the time-fractional Rayleigh-Stokes problem with polynomial and gradient nonlinearities. (English) Zbl 1527.35477
Blow up of solutions for a Petrovsky type equation with logarithmic nonlinearity. (English) Zbl 1514.35062
Analysis of a fitted finite difference scheme for a semilinear system of singularly perturbed reaction-diffusion equations having discontinuous source term. (English) Zbl 07594815
A second-order modified ghost fluid method (2nd-MGFM) with discontinuous Galerkin method for 1-D compressible multi-medium problem with cylindrical and spherical symmetry. (English) Zbl 1497.76054
Source term model for elasticity system with nonlinear dissipative term in a thin domain. (English) Zbl 1497.35045
High-order well-balanced and positivity-preserving finite-difference AWENO scheme with hydrostatic reconstruction for shallow water equations. (English) Zbl 1505.76067
Two time-stepping schemes for sub-diffusion equations with singular source terms. (English) Zbl 1492.65249
Two regularization methods for identifying the source term problem on the time-fractional diffusion equation with a hyper-Bessel operator. (English) Zbl 1499.35706
A higher-order finite difference method for two-dimensional singularly perturbed reaction-diffusion with source-term-discontinuous problem. (English) Zbl 1524.35056
Exponential decay for the semilinear wave equation with localized frictional and Kelvin-Voigt dissipating mechanisms. (English) Zbl 1506.35158
Delta shock wave for the equations of constant pressure fluid dynamics with a composite source term. (English) Zbl 1489.76035
A recursive finite-difference lattice Boltzmann model for the convection-diffusion equation with a source term. (English) Zbl 1524.76285
Existence of solutions for hybrid systems of differential equations under exogenous information with discontinuous source term. (English) Zbl 1505.34029
Orthogonal polynomials relative to weight functions of Prudnikov type. (English) Zbl 1490.33004
Reviewer: C. L. Parihar (Indore)
Statistical null-controllability of stochastic nonlinear parabolic equations. (English) Zbl 1486.60078
Axisymmetric solutions of the shallow water equations with bottom topography. (English) Zbl 1507.35191
Blow up of solutions for a nonlinear viscoelastic system with general source term. (English) Zbl 1486.35072
A deep learning modeling framework to capture mixing patterns in reactive-transport systems. (English) Zbl 1507.35182
Optimal decay of an abstract nonlinear viscoelastic equation in Hilbert spaces with delay term in the nonlinear internal damping. (English) Zbl 1510.35327
An anisotropic diffusion system with nonlinear time-delay structure tensor for image enhancement and segmentation. (English) Zbl 1538.94017
Asymptotic analysis for a reaction diffusion equation with a localized nonlinear source term and homogeneous boundary conditions. (English) Zbl 1524.35314
A first-order convergent parameter-uniform numerical method for a singularly perturbed second-order delay-differential equation of reaction-diffusion type with a discontinuous source term. (English) Zbl 1506.65092
Sigamani, Valarmathi (ed.) et al., Differential equations and applications. Selected papers based on the presentations at the international conference on applications of basic science, ICABS 2019, Tiruchirappalli, India, November 19–21, 2019. Singapore: Springer. Springer Proc. Math. Stat. 368, 73-94 (2021).
Well-posed results for nonlocal biparabolic equation with linear and nonlinear source terms. (English) Zbl 1494.35086
On the solvability and approximate solution of a one-dimensional singular problem for a \(p\)-Laplacian fractional differential equation. (English) Zbl 1486.34028
Solving generalized linear model of Black-Scholes with classical finite volume method. (English) Zbl 1499.91169
Blow up of solutions for a system of two singular nonlocal viscoelastic equations with damping, general source terms and a wide class of relaxation functions. (English) Zbl 1484.35278
Singularly perturbed Robin type boundary value problems with discontinuous source term in geophysical fluid dynamics. (English) Zbl 1485.76068
Numerical simulation of the two-dimensional heat diffusion in the cold substrate and performance analysis of a thermoelectric air cooler using the lattice Boltzmann method. (English) Zbl 07490141
Analytic solutions of fractal and fractional time derivative-Burgers-Nagumo equation. (English) Zbl 1485.35371
A novel three-level time-split MacCormack scheme for two-dimensional evolutionary linear convection-diffusion-reaction equation with source term. (English) Zbl 1480.65219
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