Continuous and discontinuous numerical solutions to the Troesch problem

DOI10.1016/0377-0427(79)90002-5zbMath0419.65047OpenAlexW2027771142MaRDI QIDQ1132511

S. H. Smith

Publication date: 1979

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(79)90002-5

zbMATH Keywords

numerical methodboundary value problemsordinary differential equationsTroesch's problemshooting

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30)

Related Items (13)

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 ⋮ On solving the Troesch problem for large sensitivity parameter values using exact derivative evaluations ⋮ High precision results for a two-point boundary value problem ⋮ A general solution for Troesch's problem ⋮ A discontinuous Galerkin finite element method for solving the Troesch's problem ⋮ A geometric approach for solving Troesch's problem ⋮ Stochastic numerical treatment for solving Troesch's problem ⋮ Troesch's problem solved by sinc methods ⋮ Numerical solution of Troesch's problem by simple shooting method ⋮ A variational iteration method for solving Troesch's problem ⋮ An efficient approach for solving stiff nonlinear boundary value problems

Cites Work

• Solution of Troesch's two-point boundary value problem by shooting technique
• Discrete mechanics - a general treatment
• Solution of two-point boundary-value problems with Jacobian matrix characterized by large positive eigenvalues
• On the solution of Troesch's nonlinear two-point boundary value problem using an initial value method
• On the closed form solution of Troesch's problem
• A simple approach to a sensitive two-point boundary value problem
• Monte Carlo path-integral calculations for two-point boundary-value problems
• Solution of Troesch's two-point boundary value problem by a combination of techniques
• Solution of Troesch's, and other, two point boundary value problems by shooting techniques
• Unnamed Item

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