Finite difference methods for two-point boundary value problems involving high order differential equations. (English) Zbl 0401.65053
MSC:
65L10 | Numerical solution of boundary value problems involving ordinary differential equations |
Keywords:
Finite Difference Schemes; Two-Point Nonlinear Boundary Value Problem; Method of Orders Two Four and Six; Fourth Order Differential Equation; Numerical Examples; Convergence of These MethodsReferences:
[1] | P. Henrici,Discrete Variable Methods in Ordinary Differential Equations, John Wiley, New York, 1962. · Zbl 0112.34901 |
[2] | R. A. Usmani,On the numerical integration of a boundary value problem involving a fourth order linear differential equation, BIT 17 (1977), 227–234. · Zbl 0363.65068 · doi:10.1007/BF01932294 |
[3] | R. A. UsmaniAn O(h 6)finite difference analogue for the solution of some differential equations occuring in plate-deflection theory, J. Inst. Maths. Applics. 20 (1977), 331–333. · Zbl 0367.65042 · doi:10.1093/imamat/20.3.331 |
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