Chebyshev finite difference method for a nonlinear system of second-order boundary value problems
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Publication:990562
DOI10.1016/j.amc.2007.02.148zbMath1193.65137OpenAlexW1991608573MaRDI QIDQ990562
Abbas Saadatmandi, Jalal Askari Farsangi
Publication date: 1 September 2010
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2007.02.148
numerical methodsGauss-Lobatto nodesChebyshev finite difference methodnonlinear second-order differential system
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Lucas polynomial approach for system of high-order linear differential equations and residual error estimation ⋮ The numerical solution of problems in calculus of variation using Chebyshev finite difference method ⋮ The comparative Boubaker polynomials expansion scheme (BPES) and homotopy perturbation method (HPM) for solving a standard nonlinear second-order boundary value problem ⋮ Computational methods for solving the steady flow of a third grade fluid in a porous half space ⋮ Numerical comparison of sinc-collocation and Chebychev-collocation methods for determining the eigenvalues of Sturm-Liouville problems with parameter-dependent boundary conditions ⋮ An algorithm: optimal homotopy asymptotic method for solutions of systems of second-order boundary value problems ⋮ Application of He's homotopy perturbation method for non-linear system of second-order boundary value problems ⋮ Unnamed Item ⋮ NUMERICAL SOLUTION OF A CLASS OF NONLINEAR SYSTEM OF SECOND-ORDER BOUNDARY-VALUE PROBLEMS: A FOURTH-ORDER CUBIC SPLINE APPROACH
Cites Work
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- The nonexistence of spurious solutions to discrete, two-point boundary value problems
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