Xinlong Feng: An analytic study on the multi-pantograph delay equations with variable coefficients, p.205-215

Abstract:

In this paper, the homotopy perturbation method (HPM) is applied to solve the multi-pantograph delay equations with variable coefficients. The sufficient conditions are given to assure the convergence of this method. Several examples are presented to demonstrate the efficiency and reliability of the HPM and numerical results are discussed. Compared with other related methods in references, the results of the HPM show its better performance than others.

Key Words: Multi-pantograph equations, homotopy perturbation method, homotopy analysis method, delay differential equations, convergence analysis.

2000 Mathematics Subject Classification: Primary: 55U40;
Secondary: 34A34, 35C10, 34A45, 65K10, 65L05.

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