论文信息 - Periodic boundary value problems for neutral multi-pantograph equations

Periodic boundary value problems for neutral multi-pantograph equations

In this paper, a new method is proposed for solving nonlinear neutral multi-pantograph equations with periodic boundary conditions by combining the advantages of the homotopy perturbed method (HPM) and the reproducing kernel method (RKM). The numerical results obtained show that the present method is reliable.

B. Y. Wu | X. Y. Li | X. Y. Li | B. Wu

[1] Arieh Iserles,et al. On the generalized pantograph functional-differential equation , 1993, European Journal of Applied Mathematics.

[2] L. Fox,et al. On a Functional Differential Equation , 1971 .

[3] Fazhan Geng,et al. Solving singular two-point boundary value problem in reproducing kernel space , 2007 .

[4] Fazhan Geng,et al. Solving singular nonlinear second-order periodic boundary value problems in the reproducing kernel space , 2007, Appl. Math. Comput..

[5] Minggen Cui,et al. Nonlinear Numerical Analysis in Reproducing Kernel Space , 2009 .

[6] Mehmet Sezer,et al. A Taylor polynomial approach for solving generalized pantograph equations with nonhomogenous term , 2008, Int. J. Comput. Math..

[7] Mehmet Sezer,et al. Approximate solution of multi-pantograph equation with variable coefficients , 2008 .

[8] 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.

[9] M. Z. Liu,et al. Properties of analytic solution and numerical solution of multi-pantograph equation , 2004, Appl. Math. Comput..

[10] Ji-Huan He. A coupling method of a homotopy technique and a perturbation technique for non-linear problems , 2000 .

[11] Fazhan Geng,et al. Solving a nonlinear system of second order boundary value problems , 2007 .

[12] Ji-Huan He. SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS , 2006 .