The Sinc‐Galerkin method for solving an inverse parabolic problem with unknown source term

DOI10.1002/num.21699zbMath1255.65171OpenAlexW2047712382MaRDI QIDQ4903209

Afshin Babaei, Abdollah Shidfar

Publication date: 21 January 2013

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.21699

zbMATH Keywords

inverse problemTikhonov regularization\(L\)-curvesinc-Galerkin methodnonhomogeneous parabolic equationunknown source term

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (7)

Application of sinc-Galerkin method for solving a nonlinear inverse parabolic problem ⋮ Identification of an inverse source problem in a fractional partial differential equation based on Sinc-Galerkin method and TSVD regularization ⋮ A computationally efficient method for tempered fractional differential equations with application ⋮ A novel approach for solving an inverse reaction-diffusion-convection problem ⋮ A numerical approach for solving Volterra integral equation with proportional delay using sinc-collocation method ⋮ The impact of two transformations on the solutions of second kind Fredholm integral equations system ⋮ Numerical solution and simulation of second-order parabolic PDEs with sinc-Galerkin method using Maple

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