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: We introduce a new approach for combining the integral equation and high frequency asymptotic techniques, e.g., the geometrical theory of diffraction. The method takes advantage of the fact ...
Keke Wu, Xiong-Bin Yan, Shi Jin, and Zheng Ma. Capturing the Diffusive Behavior of the Multiscale Linear Transport Equations by Asymptotic-Preserving Convolutional DeepONets. Comput. Methods Appl.
Department of Mathematics, Kandaswami Kandar’s College, Namakkal, India. (C 4) is a positive real sequence such that. Let. By a solution of Equation (1), we mean a real sequence satisfying Equation (1 ...
In this paper, some theoretical aspects will be addressed for the asymptotic preserving discontinuous Galerkin implicit-explicit (DG-IMEX) schemes recently proposed in [J. Jang, F. Li, J.-M. Qiu, and ...
SIAM Journal on Applied Mathematics, Vol. 72, No. 1 (2012), pp. 405-416 (12 pages) An asymptotic expansion in powers of small dimensionless dispersion coefficient is sought to solve an initial value ...
The field of asymptotic analysis serves as a cornerstone in understanding the behaviour of wave equations and their applications in hydrodynamics. This area of research focuses on developing ...
Abstract: The asymptotic and stable properties of general stochastic functional differential equations are investigated by the multiple Lyapunov function method, which admits non-negative upper bounds ...
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