The solution of a parabolic differential equation with non-local boundary conditions in the reproducing kernel space

DOI10.1016/j.amc.2008.03.008zbMath1149.35356OpenAlexW1965368141WikidataQ115361767 ScholiaQ115361767MaRDI QIDQ942396

Lihua Mu, Hong Du

Publication date: 5 September 2008

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2008.03.008

zbMATH Keywords

reproducing kernelintegral boundary conditionparabolic differential equationnon-local boundary condition

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Series solutions to PDEs (35C10)

Related Items (11)

Numerical simulation characteristics of logging response in water injection well by reproducing kernel method ⋮ Reproducing kernel method to solve parabolic partial differential equations with nonlocal conditions ⋮ The operational matrices of Bernstein polynomials for solving the parabolic equation subject to specification of the mass ⋮ Ritz‐Galerkin method with Bernstein polynomial basis for finding the product solution form of heat equation with non‐classic boundary conditions ⋮ Parabolic Partial Differential Equations with Nonlocal Initial and Boundary Values ⋮ Fully discrete Tau solution for some types of non-local heat transport equations ⋮ Solving the generalized regularized long wave equation on the basis of a reproducing kernel space ⋮ Numerical solution of time-dependent diffusion equations with nonlocal boundary conditions via a fast matrix approach ⋮ Stability of difference schemes for two-dimensional parabolic equations with non-local boundary conditions ⋮ ERROR ANALYSIS OF LEGENDRE-GALERKIN SPECTRAL METHOD FOR A PARABOLIC EQUATION WITH DIRICHLET-TYPE NON-LOCAL BOUNDARY CONDITIONS ⋮ A meshless method for solving nonlinear variable-order fractional Ginzburg-Landau equations on arbitrary domains

Cites Work

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• Space‐time finite elements incorporating characteristics for the burgers' equation
• Numerical solution of a non-local boundary value problem with Neumann's boundary conditions
• AMPLITUDE-SHAPE METHOD FOR THE NUMERICAL SOLUTION OF ORDINARY DIFFERENTIAL EQUATIONS

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