A new matrix method for solving two-dimensional time-dependent diffusion equations with Dirichlet boundary conditions

DOI10.1016/j.amc.2016.06.023zbMath1410.65408OpenAlexW2474651219MaRDI QIDQ1733724

Bashar Zogheib, Emran Tohidi

Publication date: 21 March 2019

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

Full work available at URL: https://doi.org/10.1016/j.amc.2016.06.023

zbMATH Keywords

polynomial approximationDirichlet boundary conditionsBernoulli polynomialsoperational matricestwo-dimensional diffusion equations

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Theoretical approximation in context of PDEs (35A35) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (11)

Generalized Laplace-type transform method for solving multilayer diffusion problems ⋮ Approximation properties of \(q\)-Bernoulli polynomials ⋮ Numerical solutions of nonhomogeneous Rosenau type equations by quintic B‐spline collocation method ⋮ Application of Bernoulli matrix method for solving two-dimensional hyperbolic telegraph equations with Dirichlet boundary conditions ⋮ A Novel B-Spline Method for Modeling Transport Problems in Anisotropic Inhomogeneous Media ⋮ An operational matrix based scheme for numerical solutions of nonlinear weakly singular partial integro-differential equations ⋮ Bernoulli collocation method for solving linear multidimensional diffusion and wave equations with Dirichlet boundary conditions ⋮ Explicit representation of orthonormal Bernoulli polynomials and its application for solving Volterra-Fredholm-Hammerstein integral equations ⋮ Numerical simulation of one-dimensional fractional nonsteady heat transfer model based on the second kind Chebyshev wavelet ⋮ A novel study based on Lerch polynomials for approximate solutions of pure Neumann problem ⋮ The solution of the nonlinear mixed partial integro-differential equation via two-dimensional hybrid functions

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