Results 231 to 240 of about 58,914 (295)

Collocation methods for terminal value problems of tempered fractional differential equations

, 2020
A class of tempered fractional differential equations with terminal value problems are investigated in this paper. Discretized collocation methods on piecewise polynomials spaces are proposed for solving these equations.
B. Shiri, Guo-cheng Wu, D. Baleanu
semanticscholar   +1 more source

Numerical solution of variable order fractional nonlinear quadratic integro-differential equations based on the sixth-kind Chebyshev collocation method

Journal of Computational and Applied Mathematics, 2020
In this paper, a sixth-kind Chebyshev collocation method will be considered for solving a class of variable order fractional nonlinear quadratic integro-differential equations (V-OFNQIDEs).
A. Babaei, H. Jafari, S. Banihashemi
semanticscholar   +1 more source

A meshfree stabilized collocation method (SCM) based on reproducing kernel approximation

, 2020
Meshfree direct collocation method (DCM) based on strong form suffers low accuracy and instability compared with Galerkin-based meshfree methods. Meshfree weighted least squares collocation method (WLSCM) can improve the accuracy and stability by ...
Lihua Wang, Zhihao Qian
semanticscholar   +1 more source

Linear barycentric rational collocation method for solving heat conduction equation

Numerical Methods for Partial Differential Equations, 2020
The linear barycentric rational collocation method for solving heat conduction equation is presented. The matrix form of discrete heat conduction equation by collocation method is also obtained.
Jin Li, Yongling Cheng
semanticscholar   +1 more source

Indirect methods of collocation: Trefftz‐Herrera collocation

Numerical Methods for Partial Differential Equations, 1999
Summary: A nonstandard collocation method (TH-collocation) is presented, where collocation is used to construct specialized weighting functions instead of the solution itself, as it is usual, so that in this sense it is an indirect method. TH-collocation is shown to be as accurate as standard collocation, but computationally far more efficient.
Herrera, Ismael, Díaz, Martín
openaire   +2 more sources

An accurate spectral collocation method for nonlinear systems of fractional differential equations and related integral equations with nonsmooth solutions

, 2020
This paper aims to provide a rigorous analysis of exponential convergence of an adaptive spectral collocation method for a general nonlinear system of rational-order fractional initial value problems.
M. A. Zaky
semanticscholar   +1 more source

Conditioning Collocation

SIAM Journal on Numerical Analysis, 1988
The author discusses the numerical conditioning associated with the approximate solution of ordinary differential equations. Some results concerning the practice of the use of B-splines are established.
openaire   +1 more source

Free element collocation method: A new method combining advantages of finite element and mesh free methods

Computers & structures, 2019
In this paper, a new numerical method, named as the Free Element Collocation Method (FECM), is proposed for solving general engineering problems governed by the second order partial differential equations (PDEs).
Xiaowei Gao, Lan-Fang Gao, Yuan Zhang, M. Cui, J. Lv   +4 more
semanticscholar   +1 more source

Non-standard finite difference and Chebyshev collocation methods for solving fractional diffusion equation

Physica A: Statistical Mechanics and its Applications, 2018
In this paper, a new numerical technique for solving the fractional order diffusion equation is introduced. This technique basically depends on the Non-Standard finite difference method (NSFD) and Chebyshev collocation method, where the fractional ...
P. Agarwal, A. A. El-Sayed
semanticscholar   +1 more source

A semi-analytical collocation Trefftz scheme for solving multi-term time fractional diffusion-wave equations

Engineering analysis with boundary elements, 2019
This study presents a semi-analytical boundary-only collocation technique for solving multi-term time-fractional diffusion-wave equations. In the present collocation technique, the Laplace transformation is first implemented to convert time-fractional ...
Zhuojia Fu, Li-wen Yang, Huiqing Zhu, Wenxiang Xu   +3 more
semanticscholar   +1 more source