Department of Mathematical Sciences, Yeshiva University, New York, USA. Shandong Iron and Steel Company Ltd., Jinan, China. The State Key Laboratory of Tribology, Tsinghua University, Beijing, China.
The monodromy operator of a linear delay differential equation with periodic coefficients is formulated as an integral operator. The kernel of this operator includes a factor formed from the ...
In this paper, we presented an asymptotic fitted approach to solve singularly perturbed delay differential equations of second order with left and right boundary. In this approach, the singularly ...
Abstract: Based on deep neural network, elliptic partial differential equations in complex regions are solved. Accurate and effective strategies and numerical methods for elliptic partial differential ...
Each example applies a technique that reduces N-dimensional differential systems into 1D separable parts, then solves them using exponential product formulas (Lie-Trotter, Strang, or Higher order ...
Neural networks have been widely used to solve partial differential equations (PDEs) in different fields, such as biology, physics, and materials science. Although current research focuses on PDEs ...
In this paper we consider the nonlinear parabolic integro-differential equation with initial and boundary conditions. We develop the method of generalized quasilinearization to generate linear ...
Fourier analysis and numerical methods have long played a pivotal role in the solution of differential equations across science and engineering. By decomposing complex functions into sums of ...
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