An non-uniform mesh cubic spline TAGE method for non-linear singular two-point boundary value problems

DOI10.1080/00207160500112977zbMath1075.65102OpenAlexW2071439217MaRDI QIDQ5312710

Noopur Khosla, Ranjan Kumar Mohanty, David J. Evans

Publication date: 25 August 2005

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

Full work available at URL: https://doi.org/10.1080/00207160500112977

zbMATH Keywords

numerical resultscubic splineiteration methodsnon-uniform meshTAGE methodNewton-TAGE methodthird-order methodnonlinear singular two-point boundary value problemstwo-parameter alternating group explicit methodBurgers' equation with singularity

Mathematics Subject Classification ID

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 (10)

Methods for solving singular boundary value problems using splines: a review ⋮ Super-stable spline-in-tension numerical method of order three(four) for the second order nonlinear IVPs ⋮ Non-polynomial cubic spline discretization for system of non-linear singular boundary value problems using variable mesh ⋮ Cubic B-spline collocation method on non-uniform mesh for solving non-linear parabolic partial differential equation ⋮ High accuracy variable mesh method for nonlinear two-point boundary value problems in divergence form ⋮ Efficient algorithms for fourth and sixth-order two-point non-linear boundary value problems using non-polynomial spline approximations on a geometric mesh ⋮ Differential quadrature method (DQM) for a class of singular two-point boundary value problems ⋮ A variable mesh C-SPLAGE method of accuracy \(O(k^2h_l^{-1}+kh_l+h_l^3)\) for 1D nonlinear parabolic equations ⋮ Using reproducing kernel for solving a class of singular weakly nonlinear boundary value problems ⋮ 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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• Cubic spline solution of two-point boundary value problems with significant first derivatives
• Alternating Group Explicit Method For The Numerical Solution Of Non-Linear Singular Two-Point Boundary Value Problems Using A Fourth Order Finite Difference Method
• Group explicit iterative methods for solving large linear systems
• Iterative methods for solving non-linear two point boundary value problems
• Increased Accuracy Cubic Spline Solutions to Two-Point Boundary Value Problems

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