New algorithm for nonclassical parabolic problems based on the reproducing kernel method

DOI10.1186/2251-7456-7-4zbMath1279.65108OpenAlexW2156057132WikidataQ59301918 ScholiaQ59301918MaRDI QIDQ387095

Xiuying Li, Boying Wu

Publication date: 11 December 2013

Published in: Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/2251-7456-7-4

zbMATH Keywords

algorithmnumerical resultsmethod of linesintegral boundary conditionsreproducing kernel methodparabolic partial differential equation

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items

Numerical method using cubic trigonometric B-spline technique for nonclassical diffusion problems ⋮ Solutions of nonlinear systems by reproducing kernel method

Cites Work

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• A reproducing kernel method for solving nonlocal fractional boundary value problems
• Solving the generalized regularized long wave equation on the basis of a reproducing kernel space
• A novel method for nonlinear singular fourth order four-point boundary value problems
• New method based on the HPM and RKHSM for solving forced Duffing equations with integral boundary conditions
• On the solution of the non-local parabolic partial differential equations via radial basis functions
• Solving a nonlinear system of second order boundary value problems
• Optimum control of a multirate service system
• On the non-local boundary-value problem for a parabolic equation
• Reproducing kernel spaces and applications
• A new ADI technique for two-dimensional parabolic equation with an integral condition
• Efficient techniques for the second-order parabolic equation subject to nonlocal specifications
• Crank-Nicolson finite difference method for two-dimensional diffusion with an integral condition
• Application of reproducing kernel method for solving nonlinear Fredholm-Volterra integrodifferential equations
• Numerical solution of eighth-order boundary value problems in reproducing Kernel space
• Solving singular boundary-value problems of higher even-order
• A numerical solution for non-classical parabolic problem based on Chebyshev spectral collocation method
• Numerical algorithm for parabolic problems with non-classical conditions
• On the solution of an initial-boundary value problem that combines Neumann and integral condition for the wave equation
• A computational study of the one-dimensional parabolic equation subject to nonclassical boundary specifications
• Solving the reaction-diffusion equations with nonlocal boundary conditions based on reproducing kernel space
• A parabolic equation with nonlocal boundary conditions arising from electrochemistry
• Weak Solution to an Evolution Problem with a Nonlocal Constraint
• Stepwise Stability for the Heat Equation with a Nonlocal Constraint
• A boundary value problem in the theory of heat conduction with a nonclassical boundary condition

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