A combined approach using coupled reduced alternating group explicit (CRAGE) algorithm and sixth order off-step discretization for the solution of two point nonlinear boundary value problems

DOI10.1016/j.amc.2012.06.014zbMath1292.65085OpenAlexW2081535664MaRDI QIDQ2249026

Jyoti Talwar, Ranjan Kumar Mohanty

Publication date: 27 June 2014

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

Full work available at URL: https://doi.org/10.1016/j.amc.2012.06.014

zbMATH Keywords

convergencenumerical examplesiteration methodnonlinear equationBurger's equationRMS errorssingular equationtwo point singular boundary value problemsixth-order methodcoupled reduced alternating group explicit method

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) Error bounds for numerical methods for ordinary differential equations (65L70) Singular nonlinear boundary value problems for ordinary differential equations (34B16)

Related Items (4)

A new spline in compression approximation for one space dimensional quasilinear parabolic equations on a variable mesh ⋮ A new algorithm based on spline in tension approximation for 1D quasi-linear parabolic equations on a variable mesh ⋮ A third-order finite difference method on a quasi-variable mesh for nonlinear two point boundary value problems with Robin boundary conditions ⋮ Coupled reduced alternating group explicit algorithm for third order cubic spline method on a non-uniform mesh for nonlinear singular two point boundary value problems

Cites Work

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• A TAGE iterative method for the solution of nonlinear singular two point boundary value problems using a sixth order discretization
• Alternating Group Explicit Method For The Numerical Solution Of Non-Linear Singular Two-Point Boundary Value Problems Using A Fourth Order Finite Difference Method
• The solution of periodic parabolic equations by the coupled alternating group explicit (cage) iterative method
• Group explicit iterative methods for solving large linear systems
• A Sixth-order Tridiagonal Finite Difference Method for General Non-linear Two-point Boundary Value Problems
• Iterative methods for solving non-linear two point boundary value problems
• A third-order-accurate variable-mesh TAGE iterative method for the numerical solution of two-point non-linear singular boundary value problems

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