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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The spectral collocation method for the nonlocal problem with weak singularity
弱奇点 非局部问题 光谱搭配
2023/5/6
介绍求解一维弱奇异非局部扩散问题的谱配位法，建立了相应的Gauss-Jacobi 积分公式，并将其推广至高维非局部问题的谱配置点法，相关的理论与实验检验了算法的精度和渐进相容性。
Numerical Solution of Nonlinear Fredholm-Volterra Integtral Equations via Piecewise Constant Function by Collocation Method
Nonlinear Fredholm-Volterra Integral Equation Block-Pulse Function, Error Analysis Collocation Points
2013/1/30
In this work, we present a computational method for solving nonlinear Fredholm-Volterra integral equations of the second kind which is based on replacement of the unknown function by truncated series ...
Generalized Laguerre polynomials collocation method for solving Lane-Emden equation
Lane-Emden equation Generalized Laguerre polynomials
2010/9/14
In this paper we propose, a collocation method for solving nonlinear singular Lane-Emden equation which is a nonlinear ordinary differential equation on semi-infnite interval. This approach is based o...
Spectral collocation method for parabolic partial differential equations with Neumann boundary conditions
Pseudospectral method parabolic PDEs
2010/9/15
In this paper, we present a new method for solving of the parabolic partial differential equation (PPDEs) with Neumann boundary conditions by using the collocation formula for calculating spectral dif...