Third order accurate variable mesh discretization and application of TAGE iterative method for the non-linear two-point boundary value problems with homogeneous functions in integral form

DOI10.1016/j.amc.2009.07.046zbMath1178.65086OpenAlexW2028526955MaRDI QIDQ1039668

Deepika Dhall, Ranjan Kumar Mohanty

Publication date: 23 November 2009

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

Full work available at URL: https://doi.org/10.1016/j.amc.2009.07.046

zbMATH Keywords

numerical resultsintegro-differential equationvariable meshsingular coefficientsTAGE methodnon-linear two-point boundary value problemsSimpson's 1/3rd rulethird order discretizationtwo-parameter alternating group explicit iterative methodvariable mesh method

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (3)

Implementation of TAGE method using Seikkala derivatives applied to two-point fuzzy boundary value problems ⋮ Numerical solution of partial integrodifferential equations of diffusion type ⋮ A combined arithmetic average discretization and TAGE iterative method for nonlinear two point boundary value problems with a source function in integral form

Cites Work

• 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 class of non-uniform mesh three point arithmetic average discretization for \(y^{\prime\prime} = f(x, y, y^{\prime}\) and the estimates of \(y^{\prime}\)
• Variable mesh methods for the numerical solution of two-point singular perturbation problems
• Numerical solution of a special type of integro-differential equations
• Singular Volterra integral equations
• Application of TAGE iterative algorithms to an efficient third order arithmetic average variable mesh discretization for two-point nonlinear boundary value problems
• Group explicit iterative methods for solving large linear systems
• Iterative methods for solving non-linear two point boundary value problems
• Chebyshev finite difference method for Fredholm integro-differential equation
• The Numerical Solution of Fredholm integral Equations of the Second Kind
• Analysis of numerical iterative methods for solving integral and integrodifferential equations
• A Method for the Approximate Solution of Linear Integro-Differential Equations
• 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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