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Numerical methods for differential and integral equations are indispensable in modern applied mathematics and engineering, offering tools to approximate complex physical phenomena where analytical ...
SIAM Journal on Numerical Analysis, Vol. 27, No. 3 (Jun., 1990), pp. 704-735 (32 pages) Ordinary differential equations can be recast into a nonlinear canonical form called an S-system. Evidence for ...
Abstract: The paper is devoted to the numerical solution of a two-dimensional partial differential equation with a fractional derivative in the sense of Riemann-Liouville. This equation is of great ...
In this paper we investigate the behavior of numerical ODE methods for the solution of systems of differential equations coupled with algebraic constraints. Systems of this form arise frequently in ...
Abstract: Differential equations play an important role in the fields of artificial intelligence, image processing, and aerospace, and the solution of differential equations is the mathematical basis ...