A new shooting method for multi-point discrete boundary value problems

DOI10.1016/0022-247X(85)90286-0zbMath0588.65089MaRDI QIDQ1073566

Ramesh C. Gupta, Ravi P. Agarwal

Publication date: 1985

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

numerical instabilityshootingmethod of chasingmultipoint discrete boundary value problems

Mathematics Subject Classification ID

Additive difference equations (39A10)

Related Items

On the numerical solution of two point discrete boundary value problems ⋮ On Numerov's method for a class of strongly nonlinear two-point boundary value problems ⋮ A fourth-order compact finite difference method for nonlinear higher-order multi-point boundary value problems ⋮ Numerov's method for a class of nonlinear multipoint boundary value problems ⋮ Focal boundary value problems for nonlinear difference equations. I ⋮ Focal boundary value problems for nonlinear difference equations. II ⋮ On modification of Samoilenko's numerical-analytic method of solving boundary value problems for difference equations ⋮ Some existence and uniqueness results for boundary value problems for difference equations ⋮ Discrete polynomial interpolation, Green's functions, maximum principles, error bounds and boundary value problems ⋮ The formulation of invariant imbedding method to solve multipoint discrete boundary value problems ⋮ The roles that shooting methods can play in the theory of discrete boundary value problems ⋮ On boundary value problems for difference equations

Cites Work

• Unnamed Item
• Unnamed Item
• On multipoint boundary value problems for discrete equations
• Initial-value methods for discrete boundary value problems
• Method of chasing for multipoint boundary value problems
• On the method of complementary functions for nonlinear boundary-value problems
• Computational methods in engineering boundary value problems
• The numerical solution of multipoint boundary value problems
• On shooting methods for boundary value problems
• A one-sweep numerical method for vector-matrix difference equations with two-point boundary conditions
• Multipoint solution of two-point boundary-value problems
• Derivation and validation of initial-value methods for boundary-value problems for difference equations
• Solution of Troesch's two-point boundary value problem by a combination of techniques
• Stability inequalities for discrete nonlinear two-point boundary value problems
• Difference Equations: Disconjugacy, Principal Solutions, Green's Functions, Complete Monotonicity
• Difference Equations and Multipoint Boundary Value Problems
• Linear problems for systems of difference equations
• Numerical solution of nonlinear two-point boundary problems by finite difference methods