• O. A. Uwaheren Department of Mathematics, University of Ilorin, Kwara State, Nigeria
  • A. F. Adebisi Department of Mathematical Sciences, Osun State University, Osogbo, Nigeria
  • C. Y. Ishola Department of Mathematics, National Open University of Nigeria, Jabi Abuja, Nigeria
  • M. T. Raji Department of Mathematics, Federal University of Agriculture, Abeokuta, Ogun State, Nigeria
  • A. O. Yekeen Department of Mathematics, University of Ibadan, Oyo State, Nigeria
  • O. J. Peter Department of Epidemiology and Biostatistics, School of Public Health, University of Medical Sciences, Ondo City, Ondo State, Nigeria
Keywords: Akbari-Ganji Method, Volterra Integro-differential and Volterra Inttegro-differential Difference equations


In this study, Akbari-Ganji’s Method (AGM) was applied to solve Volterra Integro-Differential Difference Equations (VIDDE) using Legendre polynomials as basis functions. Here, a trial solution function of unknown constants that conform with the differential equations together with the initial conditions were assumed and substituted into the equations under consideration. The unknown coefficients are solved for using the new proposed approach, AGM which principally involves the application of the boundary conditions on successive derivatives and integrals of the problem to obtain a system of equations. The system of equation is solved using any appropriate computer software, Maple 18. Some examples were solved and the results compared to the exact solutions.


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How to Cite
O. Uwaheren, A. Adebisi, C. Ishola, M. Raji, A. Yekeen, and O. Peter, “NUMERICAL SOLUTION OF VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS BY AKBARI-GANJI’S METHOD”, BAREKENG: J. Math. & App., vol. 16, no. 3, pp. 1123-1130, Sep. 2022.