2020
DOI: 10.21608/erj.2020.139528
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Solution of a class of nonlinear differential equations using an accelerated version of Adomian decomposition method

Abstract: In this work, we proposed a reliable polynomials called El-kalla polynomials which are faster than the traditional Adomian polynomials in solving some classes of nonlinear differential equations by Adomian decomposition method (ADM). The main advantages of El-kalla polynomials can be summerized in the following main three points:  El-kalla polynomials are recursive and do not have derivative terms so, El-kalla formula is easy in programming and save much time on the same processor compared with the traditiona… Show more

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