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- W4380551805 abstract "The purpose of this research work is to employ the Optimal Auxiliary Function Method (OAFM) for obtaining numerical approximations of time-dependent nonlinear partial differential equations (PDEs) that arise in many disciplines of science and engineering. The initial and first approximations of parabolic nonlinear PDEs associated with initial conditions have been generated by utilizing this method. Then the Galerkin method is applied to estimate the coefficients that remain unknown. Finally, the values of the coefficients generated by the Galerkin method have been inserted into the first approximation. In each example, all numerical computations and corresponding absolute errors are provided in schematic and tabular representations. The rate of convergence attained by the proposed method is depicted in tabular form" @default.
- W4380551805 created "2023-06-14" @default.
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- W4380551805 date "2023-06-10" @default.
- W4380551805 modified "2023-09-25" @default.
- W4380551805 title "Approximations of Time-Dependent Nonlinear Partial Differential Equations using Galerkin Optimal Auxiliary Function Method" @default.
- W4380551805 doi "https://doi.org/10.48550/arxiv.2306.06430" @default.
- W4380551805 hasPublicationYear "2023" @default.
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