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.

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 ...

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 ...

Asymptotic eigenvalues and eigenfunctions for the Orr-Sommerfeld equation in two-dimensional and three-dimensional incompressible flows on an infinite domain and on a semi-infinite domain are obtained ...

Abstract: In this paper, a new algorithm for solving cross-coupled algebraic Riccati equation (CARE) is proposed. Since the new algorithm is based on the fixed point algorithm, the solutions can be ...

The beam deformation equation has very wide applications in structural engineering. As a differential equation, it has its own problem concerning existence, uniqueness and methods of solutions. Often, ...