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    A new Bernoulli matrix method for solving second order linear partial differential equations with the convergence analysis 

    Type: Journal Paper
    Author : فائزه توتونیان مشهد; عمران توحیدی; Faezeh Toutounian Mashhad; EMRAN TOHIDI
    Year: 2013
    Abstract:

    to the associated integro-differential equations with partial derivatives. Therefore, Bernoulli operational matrices of differentiation and integration together with the completeness of Bernoulli polynomials can be used for transforming integro...

    Convergence analysis of Bernoulli matrix aproach for one-dimensional matrix hyperbolic equations of the first order 

    Type: Journal Paper
    Author : عمران توحیدی; فائزه توتونیان مشهد; EMRAN TOHIDI; Faezeh Toutounian Mashhad
    Year: 2014
    Abstract:

    In this paper, an approximate approach based on Bernoulli operational matrices has been

    presented to obtain the numerical solution of first-order matrix hyperbolic partial differential

    equations under the ...

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