Chebyshev Collocation Method for Parabolic Partial Integrodifferential Equations

被引：9
作者：
Sameeh, M. [1 ]
Elsaid, A. [1 ]
机构：
[1] Mansoura Univ, Fac Engn, Math & Engn Phys Dept, Mansoura 35516, Egypt
来源：
ADVANCES IN MATHEMATICAL PHYSICS | 2016年 / 2016卷
关键词：
POLYNOMIAL SOLUTIONS; NUMERICAL-SOLUTION;
D O I：
10.1155/2016/7854806
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
An efficient technique for solving parabolic partial integrodifferential equation is presented. This technique is based on Chebyshev polynomials and finite difference method. A priori error estimate for the proposed technique is deduced. Some examples are presented to illustrate the validity and efficiency of the presented method.
引用
收藏
页数：7
相关论文
共 50 条
[21]   Numerical Solution of Fractional Partial Differential Equation of Parabolic Type Using Chebyshev Wavelets Method [J].
Li, Mulin ;
Wang, Lifeng .
ENGINEERING LETTERS, 2018, 26 (02) :224-227
[22]   Spectral collocation approach with shifted Chebyshev sixth-kind series approximation for generalized space fractional partial differential equations [J].
Ali, Khalid K. ;
Mukheimer, Aiman ;
Younis, Jihad A. ;
Abd El Salam, Mohamed A. ;
Aydi, Hassen .
AIMS MATHEMATICS, 2022, 7 (05) :8622-8644
[23]   Improved multiquadric method for elliptic partial differential equations via PDE collocation on the boundary [J].
Fedoseyev, AL ;
Friedman, MJ ;
Kansa, EJ .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2002, 43 (3-5) :439-455
[24]   Parameter identification in multidimensional hyperbolic partial differential equations using wavelet collocation method [J].
Priyadarshi, Gopal ;
Rathish Kumar, Bayya Venkatesulu .
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (11) :9079-9095
[25]   Haar wavelet collocation method for three-dimensional elliptic partial differential equations [J].
Aziz, Imran ;
Siraj-ul-Islam ;
Asif, Muhammad .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 73 (09) :2023-2034
[26]   CHEBYSHEV WAVELET COLLOCATION METHOD FOR GINZBURG-LANDAU EQUATION [J].
Secer, Aydin ;
Bakir, Yasemin .
THERMAL SCIENCE, 2019, 23 :S57-S65
[27]   A Chebyshev Wavelet Collocation Method for Some Types of Differential Problems [J].
Dhawan, Sharanjeet ;
Tenreir Machado, Jose A. ;
Brzezinski, Dariusz W. ;
Osman, Mohamed S. .
SYMMETRY-BASEL, 2021, 13 (04)
[28]   Chebyshev Spectral Collocation Method for Population Balance Equation in Crystallization [J].
Ruan, Chunlei .
MATHEMATICS, 2019, 7 (04)
[29]   Solution of magnetohydrodynamic flow in a rectangular duct by Chebyshev collocation method [J].
Celik, Ibrahim .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2011, 66 (10) :1325-1340
[30]   A higher order difference method for singularly perturbed parabolic partial differential equations [J].
Das, Pratibhamoy .
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2018, 24 (03) :452-477
12345