Chebyshev finite difference method for a nonlinear system of second-order boundary value problems

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

zbMATH Keywords

numerical methodsGauss-Lobatto nodesChebyshev finite difference methodnonlinear second-order differential system

Mathematics Subject Classification ID

Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (9)

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

• Chebyshev finite difference method for the solution of boundary-layer equations
• A method for numerical integration on an automatic computer
• Solving a nonlinear system of second order boundary value problems
• Linearization criteria for a system of second-order ordinary differential equations
• A numerical method for singularly perturbed weakly coupled system of two second order ordinary differential equations with discontinuous source term
• Chebyshev finite difference approximation for the boundary value problems
• An asymptotic initial value method for boundary value problems for a system of singularly perturbed second order ordinary differential equations.
• Chebyshev finite difference method for the effects of chemical reaction, heat and mass transfer on laminar flow along a semi infinite horizontal plate with temperature dependent viscosity
• Systems of difference equations associated with boundary value problems for second order systems of ordinary differential equations
• Series solutions of coupled differential equations with one regular singular point
• Boundary value problems for systems of difference equations associated with systems of second-order ordinary differential equations
• The nonexistence of spurious solutions to discrete, two-point boundary value problems
• Existence of positive solutions for a second-order ordinary differential system

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