A new method based on polynomials equipped with a parameter to solve two parabolic inverse problems with a nonlocal boundary condition

DOI10.1080/17415977.2019.1696326zbMath1475.65105OpenAlexW2989908601WikidataQ126647462 ScholiaQ126647462MaRDI QIDQ4991486

Saeid Abbasbandy, J. Hajishafieiha

Publication date: 3 June 2021

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415977.2019.1696326

zbMATH Keywords

collocation methodinverse problemnonlocal boundary conditiontime-dependent diffusion coefficientsource problem

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Nonlinear parabolic equations (35K55) Inverse problems for PDEs (35R30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical interpolation (65D05) 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) Polynomial solutions to PDEs (35C11)

Related Items (5)

Numerical solution to the Falkner-Skan equation: a novel numerical approach through the new rational \(a\)-polynomials ⋮ A new method to numerically solve fractional differential equations using \(a\)-polynomials ⋮ A Taylor-Chebyshev approximation technique to solve the \(1D\) and \(2D\) nonlinear Burgers equations ⋮ Unnamed Item ⋮ Numerical inversion of reaction parameter for a time-fractional diffusion equation by Legendre spectral collocation and mollification method

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