Chebpack swMATH ID: 9244 Software Authors: Trif, Damian Description: Direct operatorial tau method for pantograph-type equations. The Lanczos tau method is applied to find Chebyshev polynomial approximations for the solutions of pantograph differential equations. The results are accompanied by an error analysis. Numerical examples, calculated by our Matlab package Chebpack confirm the theory and prove the importance for practice of this approach. Homepage: http://www.sciencedirect.com/science/article/pii/S0096300312008582 Dependencies: Matlab Keywords: pantograph equations; Chebyshev polynomials; tau method Related Software: Matlab; ddesd; Chebfun Cited in: 18 Documents Standard Articles 2 Publications describing the Software, including 2 Publications in zbMATH Year Direct operatorial tau method for pantograph-type equations. Zbl 1298.34143Trif, Damian 2012 Operatorial tau method for some delay equations. Zbl 1313.34228Trif, Damian 2012 all top 5 Cited by 30 Authors 3 Alghamdi, Mohammed Ali 3 Bhrawy, Ali Hassan 2 Assas, Laila M. B. 2 Bica, Alexandru Mihai 2 Ezz-Eldien, Samer S. 2 Trif, Damian 2 Yang, Changqing 1 Abbasbandy, Saeid 1 Abdelkawy, Mohamed A. 1 Aldraiweesh, Ahmed A. 1 Băleanu, Dumitru I. 1 Behera, Srikanta 1 Çevik, Mehmet 1 Curila, Mircea 1 Curila, Sorin 1 Doha, Eid H. 1 Hou, Jianhua 1 Machado, José António Tenreiro 1 Moosavi Noori, Seyyedeh Roodabeh 1 Mustafa Bahşı, M. 1 Ray, Sumita Saha 1 Rezabeyk, Saeedeh 1 Saha Ray, Santanu 1 Shivanian, Elyas 1 Taghizadeh, Nasir 1 Tohidi, Emran 1 Wang, Yushun 1 Xu, Yang 1 Zaky, Mahmoud A. 1 Zhao, Jingjun all top 5 Cited in 12 Serials 3 Applied Numerical Mathematics 2 Applied Mathematics and Computation 2 Numerical Algorithms 2 Abstract and Applied Analysis 2 Advances in Difference Equations 1 Journal of Computational and Applied Mathematics 1 Computational and Applied Mathematics 1 Nonlinear Dynamics 1 Journal of Applied Mathematics 1 Mediterranean Journal of Mathematics 1 Annals of the Tiberiu Popoviciu Seminar of Functional Equations, Approximation and Convexity 1 Mathematical Sciences all top 5 Cited in 6 Fields 16 Numerical analysis (65-XX) 8 Ordinary differential equations (34-XX) 7 Integral equations (45-XX) 2 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Integral transforms, operational calculus (44-XX) Citations by Year