On a method of solving sensitive boundary value problems

DOI10.1016/0016-0032(79)90049-8zbMath0401.65052OpenAlexW2125751433MaRDI QIDQ1255305

K. Appert

Publication date: 1979

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0016-0032(79)90049-8

zbMATH Keywords

Ordinary Differential EquationsNumerical MethodSingular Perturbation ProblemMulti-Point QuasilinearizationNonlinear Two-Point Boundary Value ProblemsSensitive Boundary Value ProblemsTroesch's Problem

Mathematics Subject Classification ID

Singular perturbations of ordinary differential equations (34D15) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (5)

An accurate asymptotic approximation and precise numerical solution of highly sensitive Troesch's problem ⋮ Successive complementary expansion method for solving Troesch's problem as a singular perturbation problem ⋮ Finite difference numerical solution of Troesch's problem on a piecewise uniform Shishkin mesh ⋮ Stochastic numerical treatment for solving Troesch's problem ⋮ A variational iteration method for solving Troesch's problem

Cites Work

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• Solution of two-point boundary-value problems with Jacobian matrix characterized by large positive eigenvalues
• On the closed form solution of Troesch's problem
• A simple approach to a sensitive two-point boundary value problem
• A numerical method for boundary value problems
• General technique for solving nonlinear, two-point boundary-value problems via the method of particular solutions
• Modified quasilinearization method for solving nonlinear, two-point boundary-value problems
• Solution of Troesch's two-point boundary value problem by a combination of techniques
• Multipoint approach to the two-point boundary value problem

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