Troesch's problem: a B-spline collocation approach

DOI10.1016/j.mcm.2011.04.030zbMath1235.65086OpenAlexW2071951332MaRDI QIDQ409824

A. Sayfy, Khuri, Suheil A.

Publication date: 15 April 2012

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2011.04.030

zbMATH Keywords

collocationB-splinesShishkin-type meshTroesch's problemboundary values problems

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

Related Items (21)

An accurate asymptotic approximation and precise numerical solution of highly sensitive Troesch's problem ⋮ Successive complementary expansion method for solving Troesch's problem as a singular perturbation problem ⋮ Finite difference numerical solution of Troesch's problem on a piecewise uniform Shishkin mesh ⋮ Three new approaches for solving a class of strongly nonlinear two-point boundary value problems ⋮ Self-adjoint singularly perturbed second-order two-point boundary value problems: a patching approach ⋮ Wavelet multiresolution interpolation Galerkin method for nonlinear boundary value problems with localized steep gradients ⋮ The boundary layer problem: a fourth-order adaptive collocation approach ⋮ On solving the Troesch problem for large sensitivity parameter values using exact derivative evaluations ⋮ Numerical solution of two-point nonlinear boundary value problems via Legendre-Picard iteration method ⋮ The sinc-Galerkin method for solving Troesch's problem ⋮ Numerical solutions of Troesch and Duffing equations by Taylor wavelets ⋮ An iterative technique for a class of Dirichlet nonlinear BVPs: Troesch's problem ⋮ A general solution for Troesch's problem ⋮ Unnamed Item ⋮ A discontinuous Galerkin finite element method for solving the Troesch's problem ⋮ An efficient approach for solving nonlinear Troesch's and Bratu's problems by wavelet analysis method ⋮ A geometric approach for solving Troesch's problem ⋮ Stochastic numerical treatment for solving Troesch's problem ⋮ Troesch's problem solved by sinc methods ⋮ NUMERICAL SOLUTION OF A CLASS OF NONLINEAR SYSTEM OF SECOND-ORDER BOUNDARY-VALUE PROBLEMS: A FOURTH-ORDER CUBIC SPLINE APPROACH ⋮ The variational spline method for solving Troesch's problem

Cites Work

• Adaptive techniques for spline collocation
• A variational iteration method for solving Troesch's problem
• On the closed form solution of Troesch's problem
• Application of cubic B-spline finite element technique to the thermistor problem.
• The numerical solution of fifth-order boundary value problems with sixth-degree B-spline functions
• An efficient algorithm for solving Troesch's problem
• A new algorithm for calculating one-dimensional differential transform of nonlinear functions
• Fifty Years of Stiffness
• Grading Functions and Mesh Redistribution
• A Collocation Method for Two-Point Boundary Value Problems
• The numerical solution of third-order boundary-value problems with fourth-degree &B-spline functions
• A Numerical Algorithm For Solving Troesch'S Problem
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