Numerical solution of differential equations using Sinc method based on the interpolation of the highest derivatives

DOI10.1016/J.APM.2006.04.013zbMath1145.35320OpenAlexW1979423525MaRDI QIDQ924758

Chen Li, Xiong-Hua Wu

Publication date: 19 May 2008

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2006.04.013

zbMATH Keywords

function approximationderivative approximationnonhomogeneous mixed boundary condition

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Theoretical approximation in context of PDEs (35A35) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (6)

Imposing boundary conditions in Sinc method using highest derivative approximation ⋮ Chebyshev tau meshless method based on the highest derivative for fourth order equations ⋮ Numerical solution of the system of second-order integro-differential equations using non-classical double sinc method ⋮ Numerical solution of system of second-order integro-differential equations using nonclassical sinc collocation method ⋮ Boundary reduction technique and rational Sinc domain decomposition method ⋮ Sinc Collocation Numerical Methods for Solving Two-Dimensional Gross-Pitaevskii Equations with Non-Homogeneous Dirichlet Boundary Conditions

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• Double exponential transformation in the Sinc-collocation method for two-point boundary value problems
• Numerical solution of Navier-Stokes equations using multiquadric radial basis function networks
• Linearized and rational approximation method for solving non-linear Burgers' equation
• Near optimality of the sinc approximation
• Finite element superconvergence on Shishkin mesh for 2-D convection-diffusion problems

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