Parallel algorithm with spectral convergence for nonlinear integro-differential equations

Details Parallel algorithm with spectral convergence for nonlinear integro-differential equations Parallel algorithm with spectral convergence for nonlinear integro-differential equations

2002-02-26

arxiv.org/abs/physics/0202062v1

J.Phys.A35:5315,2002

Physics

Computational Physics

15 pages, 9 figures

Scientific paper

10.1088/0305-4470/35/25/311

We discuss a numerical algorithm for solving nonlinear integro-differential equations, and illustrate our findings for the particular case of Volterra type equations. The algorithm combines a perturbation approach meant to render a linearized version of the problem and a spectral method where unknown functions are expanded in terms of Chebyshev polynomials (El-gendi's method). This approach is shown to be suitable for the calculation of two-point Green functions required in next to leading order studies of time-dependent quantum field theory.

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