Project supported by the National Natural Science Foundation of China(Grant Nos.12174048 and 12204128)。
A Wentzel-Kramers-Brillouin(WKB)method is introduced for obtaining a uniform asymptotic solution for underwater sound propagation at very low frequencies in deep ocean.The method utilizes a mode sum and employs the re...
Computational modeling plays a vital role in advancing our understanding and application of soliton theory.It allows researchers to both simulate and analyze complex soliton phenomena and discover new types of soliton...
This work aims at the mathematical modeling of a parabolic trough concentrator, the numerical resolution of the resulting equation, as well as the simulation of the heat transfer fluid heating process. To do this, a t...
In this article, a modified version of the Differential Transform Method (DTM) is employed to examine soliton pulse propagation in a weakly non-local parabolic law medium and wave propagation in optical fibers. This s...
supported by the National Natural Science Foundation of China(11871312,12131014);the Natural Science Foundation of Shandong Province,China(ZR2023MA086)。
A bicubic B-spline finite element method is proposed to solve optimal control problems governed by fourth-order semilinear parabolic partial differential equations.Its key feature is the selection of bicubic B-splines...
Supported by the Renewable Energy Laboratory,Prince Sultan University,Saudi Arabia.
A thermoelectric generator (TEG) is a one of thermo electric conversion device that operates based on the heat difference between the two surfaces of a device. In a TEG, the power generation varies owing to various am...
This paper considers the finite element approximation to parabolic optimal control problems with measure data in a nonconvex polygonal domain.Such problems usually possess low regularity in the state variable due to t...
Supported by Natural Science Foundation of Jiangsu Province of China(Grant No.BK20220324);Natural Science Research of Jiangsu Higher Education Institutions of China(Grant No.22KJB110016)。
In this paper,we give a locally parabolic version of Tb theorem for a class of vector-valued operators with off-diagonal decay in L^(2) and certain quasi-orthogonality on a subspace of L^(2),in which the testing funct...
In this paper, the optimal control problem of parabolic integro-differential equations is solved by gradient recovery based two-grid finite element method. Piecewise linear functions are used to approximate state and ...