Highly accurate two parameter CAGE parallel algorithms for non-linear singular two point boundary value problems

DOI10.1080/00207160412331291044zbMath1070.65064OpenAlexW2081496084MaRDI QIDQ4653700

Ranjan Kumar Mohanty, David J. Evans

Publication date: 7 March 2005

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160412331291044

zbMATH Keywords

finite difference methodconvection-diffusion equationnumerical examplesparallel computationerror boundsBurgers' equationNewton methodRMS errorsfourth-order methodcoupled alternating group explicit method

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Parallel numerical computation (65Y05) 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) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (4)

Compact alternating group explicit method for the cubic spline solution of two point boundary value problems with significant nonlinear first derivative terms ⋮ A set of compact finite-difference approximations to first and second derivatives, related to the extended Numerov method of Chawla on nonuniform grids ⋮ A single sweep AGE algorithm based on off-step discretization for the solution of viscous Burgers' equation on a variable mesh ⋮ 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

Uses Software

• CAGE

Cites Work

• Two parameter age (tage) method for the solution of a tradiagonal linear system of equations
• 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 Fourth-order Tridiagonal Finite Difference Method for General Non-linear Two-point Boundary Value Problems with Mixed Boundary Conditions
• Iterative methods for solving non-linear two point boundary value problems

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