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A Multistep Legendre Pseudo-Spectral Method for Nonlinear Volterra Integral Equations.
- Source :
-
International Journal of Nonlinear Sciences & Numerical Simulation . Feb2020, Vol. 21 Issue 1, p23-35. 13p. - Publication Year :
- 2020
-
Abstract
- In this paper, we extend the single-step pseudo-spectral method for nonlinear Volterra integral equations of the second kind to the multistep pseudo-spectral method. We also analyze the convergence of the hp-version of the multistep pseudo-spectral method under the L2-norm, and the result shows that the scheme enjoys high order accuracy and can be implemented in a stable and efficient manner. In addition, it is very suitable for long time calculations and large step size situations. Numerical experiments confirm the theoretical expectations. [ABSTRACT FROM AUTHOR]
- Subjects :
- *VOLTERRA equations
*NONLINEAR integral equations
*INTEGRAL equations
Subjects
Details
- Language :
- English
- ISSN :
- 15651339
- Volume :
- 21
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- International Journal of Nonlinear Sciences & Numerical Simulation
- Publication Type :
- Academic Journal
- Accession number :
- 141494155
- Full Text :
- https://doi.org/10.1515/ijnsns-2018-0039