Solving a parabolic PDE with nonlocal boundary conditions using the sinc method

DOI10.1007/s11075-012-9595-5zbMath1264.65170OpenAlexW2042403004MaRDI QIDQ1944746

Abdollah Shidfar, Reza Zolfaghari

Publication date: 27 March 2013

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-012-9595-5

zbMATH Keywords

algorithmconvergencecollocation methodheat equationnumerical examplesparabolic equationnonlocal boundary conditionssinc functionsinc collocation methodsystems of Volterra integral equationsconvolution integrals

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Heat equation (35K05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Systems of nonsingular linear integral equations (45F05) Volterra integral equations (45D05)

Related Items (6)

Numerical solution of two backward parabolic problems using method of fundamental solutions ⋮ An efficient spectral approximation for solving several types of parabolic PDEs with nonlocal boundary conditions ⋮ Reconstructing an unknown time-dependent function in the boundary conditions of a parabolic PDE ⋮ Determination of an unknown heat source from integral overdetermination condition ⋮ Bernoulli collocation method for solving linear multidimensional diffusion and wave equations with Dirichlet boundary conditions ⋮ Neural network algorithm based on Legendre improved extreme learning machine for solving elliptic partial differential equations

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