REDUCED DIFFERENTIAL TRANSFORMS APPROACH FOR HIGHLY NONLINEAR SYSTEM OF TWO DIMENSIONAL VOLTERRA INTEGRAL EQUATIONS

Year 2018, Volume: 1 Issue: 1, 1 - 10, 01.01.2018

A Sarman N. Magesh A. John Chrıstopher

Abstract

Analytical solution of highly nonlinear system of two dimensional Volterraintegral equations is studied by the reduced differential transform method [RDTM]. Wepresent a new property of RDTM to acquire the recursive relation which is used to getanalytical solution of the above mentioned two dimensional system. Results of the numerical examples obtained by RDTM are compared with the existing results obtainedby TDDTM. Though solutions obtained by RDTM and TDDTM are same, RDTM hassignificant advantage over TDDTM that is RDTM generates the solution of the nonlinearproblem by operating the multivariable function with respect to a desired variable onlynot on all of their independent variables unlike in TDDTM so that RDTM reduces thetime consumption than TDDTM

Keywords

Reduced differential transform method, Volterra integral equations

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