Zobrazeno 1 - 10
of 167
pro vyhledávání: '"Qiu, Wenlin"'
This work considers the variable-exponent fractional diffusion-wave equation, which describes, e.g. the propagation of mechanical diffusive waves in viscoelastic media with varying material properties. Rigorous numerical analysis for this model is no
Externí odkaz:
http://arxiv.org/abs/2406.02941
We propose a local modification of the standard subdiffusion model by introducing the initial Fickian diffusion, which results in a multiscale diffusion model. The developed model resolves the incompatibility between the nonlocal operators in subdiff
Externí odkaz:
http://arxiv.org/abs/2401.16885
This paper proposes two efficient approximation methods to solve high-dimensional fully nonlinear partial differential equations (NPDEs) and second-order backward stochastic differential equations (2BSDEs), where such high-dimensional fully NPDEs are
Externí odkaz:
http://arxiv.org/abs/2209.04997
Autor:
Qiu, Wenlin
In this work, the z-transform is presented to analyze time-discrete solutions for Volterra integrodifferential equations (VIDEs) with nonsmooth multi-term kernels in the Hilbert space, and this class of continuous problem was first considered and ana
Externí odkaz:
http://arxiv.org/abs/2209.00235
Autor:
Qiu, Wenlin
In this paper, we investigate and analyze numerical solutions for the Volterra integrodifferential equations with tempered multi-term kernels. Firstly we derive some regularity estimates of the exact solution. Then a temporal-discrete scheme is estab
Externí odkaz:
http://arxiv.org/abs/2209.00229
In this paper, based on the developed nonlinear fourth-order operator and method of order reduction, a novel fourth-order compact difference scheme is constructed for the mixed-type time-fractional Burgers' equation, from which $L_1$-discretization f
Externí odkaz:
http://arxiv.org/abs/2209.00217
In this paper, a two-grid temporal second-order scheme for the two-dimensional nonlinear Volterra integro-differential equation with weakly singular kernel is proposed to reduce the computation time and improve the accuracy of the scheme developed by
Externí odkaz:
http://arxiv.org/abs/2209.00211
This paper establishes and analyzes a second-order accurate numerical scheme for the nonlinear partial integrodifferential equation with a weakly singular kernel. In the time direction, we apply the Crank-Nicolson method for the time derivative, and
Externí odkaz:
http://arxiv.org/abs/2203.12226
Autor:
Zhao, Mingchao, Qiu, Wenlin
Publikováno v:
In Applied Mathematics Letters May 2024 151
Publikováno v:
In Mathematics and Computers in Simulation May 2024 219:12-27