A High-Order Approximate Solution for the Nonlinear 3D Volterra Integral Equations with Uniform Accuracy

نویسندگان

چکیده

In this paper, we present a high-order approximate solution with uniform accuracy for nonlinear 3D Volterra integral equations. This numerical scheme is constructed based on the three-dimensional block cubic Lagrangian interpolation method. At same time, give local truncation error analysis of Taylor’s theorem. Through theoretical analysis, reach conclusion that optimal convergence order 4. Finally, verify effectiveness and applicability method through four examples.

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ژورنال

عنوان ژورنال: Axioms

سال: 2022

ISSN: ['2075-1680']

DOI: https://doi.org/10.3390/axioms11090476