Baleanu, DumitruAhsan, SumbalNawaz, RashidAkbar, MuhammadNisar, Kottakkaran SooppyBaleanu, Dumitru2022-03-222022-03-222021Ahsan, Sumbal...et al. (2021). "Approximate solutions of nonlinear two-dimensional Volterra integral equations", Mathematical Methods in the Applied Sciences, Vol. 44, No. 7, pp. 5548-5559.1099-1476https://hdl.handle.net/20.500.12416/5163The present work is concerned with examining the Optimal Homotopy Asymptotic Method (OHAM) for linear and nonlinear two-dimensional Volterra integral equations (2D-VIEs). The result obtained by the suggested method for linear 2D-VIEs is compared with the differential transform method, Bernstein polynomial method, and piecewise block-plus method and result of the proposed method for nonlinear 2D-VIEs is compared with 2D differential transform method. The proposed method provides us with efficient and more accurate solutions compared to the other existing methods in the literature.eninfo:eu-repo/semantics/closedAccess2D-VIEsAnalytical SolutionThe Optimal Homotpy Asymptotic MethodArticle4475548555910.1002/mma.7128