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
[41]   Sinc-Muntz-Legendre Collocation Method for Solving a Class of Nonlinear Fractional Partial Differential Equations [J].
Ajeel, M. Shareef ;
Gachpazan, M. ;
Soheili, Ali R. .
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2021, 61 (12) :2024-2033
[42]   Solving hyperbolic partial differential equations using a highly accurate multidomain bivariate spectral collocation method [J].
Samuel, F. M. ;
Motsa, S. S. .
WAVE MOTION, 2019, 88 :57-72
[43]   Application of Rational Second Kind Chebyshev Functions for System of Integrodifferential Equations on Semi-Infinite Intervals [J].
Kajani, M. Tavassoli ;
Vahdati, S. ;
Abbas, Zulkifly ;
Maleki, Mohammad .
JOURNAL OF APPLIED MATHEMATICS, 2012,
[44]   A spectral shifted gegenbauer collocation method for fractional pantograph partial differential equations and its error analysis [J].
Yaghoubi, S. ;
Aminikhah, H. ;
Sadri, K. .
SADHANA-ACADEMY PROCEEDINGS IN ENGINEERING SCIENCES, 2023, 48 (04)
[45]   An effective Hermite wavelet collocation method for 3D partial differential equations with convergence analysis [J].
Raza, Akmal ;
Alam, Mohammad Prawesh ;
Faheem, Mo .
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2025, :5015-5036
[46]   Taylor collocation method for solving two-dimensional partial Volterra integro-differential equations [J].
Khennaoui, Cheima ;
Bellour, Azzeddine ;
Laib, Hafida .
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (12) :12735-12758
[47]   Chebyshev Wavelet collocation method for solving generalized Burgers-Huxley equation [J].
Celik, Ibrahim .
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2016, 39 (03) :366-377
[48]   AN ERROR CORRECTED EULER METHOD FOR SOLVING STIFF PROBLEMS BASED ON CHEBYSHEV COLLOCATION [J].
Kim, Philsu ;
Piao, Xiangfan ;
Kim, Sang Dong .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2011, 49 (06) :2211-2230
[49]   Cubic B-spline collocation method on a non-uniform mesh for solving nonlinear parabolic partial differential equation [J].
Singh, Swarn ;
Bhatt, Sandeep ;
Singh, Suruchi .
COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 2022, 10 (01) :28-43
[50]   On the Approximate Solution of Partial Integro-Differential Equations Using the Pseudospectral Method Based on Chebyshev Cardinal Functions [J].
Tchier, Fairouz ;
Dassios, Ioannis ;
Tawfiq, Ferdous ;
Ragoub, Lakhdar .
MATHEMATICS, 2021, 9 (03) :1-14
12345