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    ARTICLE

    Numerical solution of diffusion equation using a method of lines and generalized finite differences

    Gerardo Tinoco-Guerrero1,2, Francisco Javier Domínguez Mota1,3, José Alberto Guzmán Torres1, José Gerardo Tinoco-Ruiz1

    Revista Internacional de Métodos Numéricos para Cálculo y Diseño en Ingeniería, Vol.38, No.2, pp. 1-14, 2022, DOI:10.23967/j.rimni.2022.06.003 - 14 June 2022

    Abstract One of the greatest challenges in the area of applied mathematics continues to be the design of numerical methods capable of approximating the solution of partial differential equations quickly and accurately. One of the most important equations, due to the hydraulic and transport applications it has, and the large number of difficulties that it usually presents when solving it numerically is the Diffusion Equation.
    In the present work, a Method of Lines applied to the numerical solution of the said equation in irregular regions is presented using a scheme of Generalized Finite Differences. The second-order More >

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