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A modified parametric iteration method for solving nonlinear second order BVPs

The original parametric iteration method (PIM) provides the solution of a nonlinear second order boundary value problem (BVP) as a sequence of iterations. Since the successive iterations of the PIM may be very complex so that the resulting integrals in its iterative relation may not be performed analytically. Also, the implementation of the PIM generally leads to calculation of...

A Novel Method for Solving Nonlinear Volterra Integro-Differential Equation Systems

nonlinear system of Volterra integro-differential equations. Conflicts of Interest Mohammad Hossein Daliri Birjandi, Jafar Saberi-Nadjafi, and Asghar Ghorbani declare that there are no conflicts of interest

A Novel Method for Solving Nonlinear Volterra Integro-Differential Equation Systems

, School of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran Correspondence should be addressed to Jafar Saberi-Nadjafi; moc.liamg@141ifajan Received 12 December 2017; Accepted 2 April ... accurate and convenient for solving the linear and nonlinear system of Volterra integro-differential equations. Conflicts of Interest Mohammad Hossein Daliri Birjandi, Jafar Saberi-Nadjafi, and Asghar

An Analytical and Approximate Solution for Nonlinear Volterra Partial Integro-Differential Equations with a Weakly Singular Kernel Using the Fractional Differential Transform Method

-Shirvan,1 Jafar Saberi-Nadjafi,2 and Morteza Gachpazan2 1Department of Applied Mathematics, Ferdowsi University of Mashhad, International Campus, Mashhad, Iran 2Department of Applied Mathematics, School of ... Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran Correspondence should be addressed to Jafar Saberi-Nadjafi; moc.liamg@141ifajan Received 17 August 2017; Revised 24 November 2017; Accepted

An Analytical and Approximate Solution for Nonlinear Volterra Partial Integro-Differential Equations with a Weakly Singular Kernel Using the Fractional Differential Transform Method

-Shirvan,1 Jafar Saberi-Nadjafi,2 and Morteza Gachpazan2 1Department of Applied Mathematics, Ferdowsi University of Mashhad, International Campus, Mashhad, Iran 2Department of Applied Mathematics, School of ... Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran Correspondence should be addressed to Jafar Saberi-Nadjafi; moc.liamg@141ifajan Received 17 August 2017; Revised 24 November 2017; Accepted