High Accuracy Combination Method for Solving the Systems of Nonlinear Volterra Integral and Integro-Differential Equations with Weakly Singular Kernels of the Second Kind
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-05-24
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
This paper presents a high accuracy combination algorithm for solving the systems of nonlinear Volterra integral and integro-differential equations with weakly singular kernels of the second kind.
Two quadrature algorithms for solving the systems are discussed, which possess high accuracy order and the asymptotic expansion of the errors.
By means of combination algorithm, we may obtain a numerical solution with higher accuracy order than the original two quadrature algorithms.
Moreover an a posteriori error estimation for the algorithm is derived.
Both of the theory and the numerical examples show that the algorithm is effective and saves storage capacity and computational cost.
American Psychological Association (APA)
Pan, Lu& He, Xiaoming& Lü, Tao. 2010. High Accuracy Combination Method for Solving the Systems of Nonlinear Volterra Integral and Integro-Differential Equations with Weakly Singular Kernels of the Second Kind. Mathematical Problems in Engineering،Vol. 2010, no. 2010, pp.1-21.
https://search.emarefa.net/detail/BIM-506559
Modern Language Association (MLA)
Pan, Lu…[et al.]. High Accuracy Combination Method for Solving the Systems of Nonlinear Volterra Integral and Integro-Differential Equations with Weakly Singular Kernels of the Second Kind. Mathematical Problems in Engineering No. 2010 (2010), pp.1-21.
https://search.emarefa.net/detail/BIM-506559
American Medical Association (AMA)
Pan, Lu& He, Xiaoming& Lü, Tao. High Accuracy Combination Method for Solving the Systems of Nonlinear Volterra Integral and Integro-Differential Equations with Weakly Singular Kernels of the Second Kind. Mathematical Problems in Engineering. 2010. Vol. 2010, no. 2010, pp.1-21.
https://search.emarefa.net/detail/BIM-506559
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-506559