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 ...
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.
Shi Jin, Zheng Ma, and Keke Wu. Asymptotic-preserving neural networks for multiscale time-dependent linear transport equations. J. Sci. Comput., 94(3):57, 2023. [PDF] Shi Jin, Zheng Ma, and Keke Wu.
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 ...
ABSTRACT: In this article, we discuss the long-time dynamical behavior of the stochastic non-autonomous nonclassical diffusion equations with linear memory and additive white noise in the weak ...
Abstract: In this paper a homotopy approach, called the optimal homotopy asymptotic method (OHAM) is presented as a new and powerful technique for analytical treatment of a nonlinear problem related ...
Stochastic differential equations (SDEs) are at the heart of modern financial modelling, providing a framework that accommodates the inherent randomness observed in financial markets. These equations ...
This work is concerned with systems of coupled partial differential equations (known as Kolmogorov backward equations) for continuous-time Markov processes featuring in the coexistence of continuous ...
Applied Mathematics & Computational Science and Earth Sciences & Engineering, King Abdullah University of Science and Technology, Thuwal 23955-6900, Kingdom of Saudi Arabia Also at Center for ...
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