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Browsing College of Arts & Sciences by Author "Tohidi, Emran"
Now showing items 1-4 of 4
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A new matrix method for solving two-dimensional time-dependent diffusion equations with Dirichlet boundary conditions
(2016)This paper is devoted to develop a new matrix scheme for solving two-dimensional time-dependent diffusion equations with Dirichlet boundary conditions. We first transform these equations into equivalent integro partial ... -
An accurate space time pseudospectral method for solving nonlinear multi-dimensional heat transfer problems
(2017)In this paper, we consider the numerical solution of the nonlinear one- and two-dimensional heat transfer problems subject to the given initial conditions and linear Robin boundary conditions. We propose a pseudospectral ... -
Bernoulli collocation method for solving linear multi-dimensional diffusion and wave equations with Dirichlet boundary conditions
(2017)A numerical approach is proposed for solving multidimensional parabolic diffusion and hyperbolic wave equations subject to the appropriate initial and boundary conditions. The considered numerical solutions of the these ... -
Method of lines for multi-dimensional coupled viscous Burgers' equations via nodal Jacobi spectral collocation method
(Physica Scripta, IOP Science, 2021-08-27)This paper deals with the multi-dimensional coupled viscous Burgers' equations, using the method of lines (MOL). Indeed, the solutions are approximated by their Lagrange interpolation on a set of Jacobi-type nodes. Then, ...