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THE COMBINED MODIFIED LAPLACE WITH ADOMIAN DECOMPOSITION METHOD FOR SOLVING THE NONLINEAR VOLTERRA-FREDHOLM INTEGRO DIFFERENTIAL EQUATIONS

  • HAMOUD, AHMED A. (RESEARCH SCHOLAR AT. DEPARTMENT OF MATHEMATICS, DR. BAM UNIVERSITY) ;
  • GHADLE, KIRTIWANT P. (DEPARTMENT OF MATHEMATICS, DR. BABASAHEB AMBEDKAR MARATHWADA UNIVERSITY)
  • Received : 2017.01.13
  • Accepted : 2017.02.22
  • Published : 2017.03.25

Abstract

A combined form of the modified Laplace Adomian decomposition method (LADM) is developed for the analytic treatment of the nonlinear Volterra-Fredholm integro differential equations. This method is effectively used to handle nonlinear integro differential equations of the first and the second kind. Finally, some examples will be examined to support the proposed analysis.

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