Numeric solutions for the pantograph type delay differential equation using First Boubaker polynomials
暂无分享,去创建一个
[1] John A. Hudson. Mathematical Models in the Applied Sciences A. C. Fowler, Cambridge Texts in Applied Mathematics, Cambridge University Press, 1997, 402 pp., ISBN 0 521 46703 9, Paperback, £65.00, $85.00 , 1998 .
[2] Mehmet Sezer,et al. A Taylor method for numerical solution of generalized pantograph equations with linear functional argument , 2007 .
[3] John Ockendon,et al. The dynamics of a current collection system for an electric locomotive , 1971, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.
[4] Shadia M. Abo-Hasha,et al. On the application of spline functions to initial value problems with retarded argument , 1990 .
[5] David J. Evans,et al. The Adomian decomposition method for solving delay differential equation , 2005, Int. J. Comput. Math..
[6] A. Iserles,et al. Stability of the discretized pantograph differential equation , 1993 .
[7] Mehmet Sezer,et al. A taylor collocation method for solving high‐order linear pantograph equations with linear functional argument , 2011 .
[8] H. I. Freedman,et al. Analysis of a model representing stage-structured population growth with state-dependent time delay , 1992 .
[9] D. Li,et al. Runge-Kutta methods for the multi-pantograph delay equation , 2005, Appl. Math. Comput..
[11] Mehmet Sezer,et al. A Taylor polynomial approach for solving generalized pantograph equations with nonhomogenous term , 2008, Int. J. Comput. Math..
[12] A. Tayler,et al. Mathematical Models in Applied Mechanics , 2002 .
[13] Emiko Ishiwata,et al. On the attainable order of collocation methods for pantograph integro-differential equations , 2003 .
[14] M. Z. Liu,et al. Properties of analytic solution and numerical solution of multi-pantograph equation , 2004, Appl. Math. Comput..
[15] Karem Boubaker,et al. A solution to Bloch NMR flow equations for the analysis of hemodynamic functions of blood flow system using m-Boubaker polynomials , 2009 .
[16] Arieh Iserles,et al. The Pantograph Equation in the Complex Plane , 1997 .
[17] Karem Boubaker,et al. On Modified Boubaker Polynomials: Some Differential and Analytical Properties of the New Polynomials Issued from an Attempt for Solving Bi-varied Heat Equation , 2007 .
[18] Mehmet Sezer,et al. A collocation method using Hermite polynomials for approximate solution of pantograph equations , 2011, J. Frankl. Inst..
[19] Mehmet Sezer,et al. Approximate solution of multi-pantograph equation with variable coefficients , 2008 .