Nawaz, RashidAkbar, MuhammadNisar, Kottakkaran SooppyBaleanu, DumitruAhsan, Sumbal02.02. Matematik02. Fen-Edebiyat Fakültesi01. Çankaya Üniversitesi2022-03-222025-09-182022-03-222025-09-182021Ahsan, Sumbal...et al. (2021). "Approximate solutions of nonlinear two-dimensional Volterra integral equations", Mathematical Methods in the Applied Sciences, Vol. 44, No. 7, pp. 5548-5559.0170-42141099-1476https://doi.org/10.1002/mma.7128https://hdl.handle.net/20.500.12416/13404Nawaz, Rashid/0000-0002-4773-8446; Ahsan, Sumbal/0000-0003-0524-8622; Nisar, Prof. Kottakkaran Sooppy/0000-0001-5769-4320The 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&#8208ViesAnalytical SolutionThe Optimal Homotpy Asymptotic MethodArticle10.1002/mma.71282-s2.0-85101143165