High accuracy variable mesh method for nonlinear two-point boundary value problems in divergence form

DOI10.1016/j.amc.2015.10.030zbMath1410.65268OpenAlexW2218127379MaRDI QIDQ668560

Juan-Miguel Gracia

Publication date: 19 March 2019

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

Full work available at URL: https://doi.org/10.1016/j.amc.2015.10.030

zbMATH Keywords

finite difference methodnonlinear equationtwo-point boundary value problemsvariable meshdivergence form

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Finite difference and finite volume methods for ordinary differential equations (65L12) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Cites Work

• Homotopy perturbation technique for solving two-point boundary value problems -- comparison with other methods
• A family of variable mesh methods for the estimates of (d\(u\)/d\(r\)) and solution of non-linear two point boundary value problems with singularity
• A new analytical and numerical treatment for singular two-point boundary value problems via the Adomian decomposition method
• Variable mesh methods for the numerical solution of two-point singular perturbation problems
• Spline finite difference methods for singular two point boundary value problems
• Finite difference methods for a class of two-point boundary value problems with mixed boundary conditions
• A nonlinear shooting method for two-point boundary value problems
• Application of TAGE iterative algorithms to an efficient third order arithmetic average variable mesh discretization for two-point nonlinear boundary value problems
• A Finite Element Method for a Boundary Value Problem of Mixed Type
• A Sixth-order Tridiagonal Finite Difference Method for General Non-linear Two-point Boundary Value Problems
• A Fourth-order Tridiagonal Finite Difference Method for General Non-linear Two-point Boundary Value Problems with Mixed Boundary Conditions
• An non-uniform mesh cubic spline TAGE method for non-linear singular two-point boundary value problems
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