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Numerical solution of high-order linear Volterra integro-differential equations by using Taylor collocation method

ABSTRACT The main purpose of this work is to provide a new direct numerical method for high-order linear Volterra integro-differential equations (VIDEs). An algorithm based on the use of Taylor… Click to show full abstract

ABSTRACT The main purpose of this work is to provide a new direct numerical method for high-order linear Volterra integro-differential equations (VIDEs). An algorithm based on the use of Taylor polynomials is developed for the numerical solution of high-order linear VIDEs. It is shown that this algorithm is convergent. Numerical results are presented and comparisons are made with well-known numerical methods to prove the effectiveness of the presented algorithm.

Keywords: order linear; integro differential; high order; volterra integro; linear volterra

Journal Title: International Journal of Computer Mathematics
Year Published: 2019

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