An efficient numerical algorithm for solving nonlinear Volterra integral equations in the reproducing kernel space

The main purpose of this paper is to approximate the solution of the nonlinear Volterra integral equation numerically in the reproducing kernel space. Consequently, in the study, combining Quasi-Newton’s method and the least-square method, we develop a new method for solving this kind of equation. T...

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Vydáno v:	Journal of applied mathematics & computing Ročník 69; číslo 4; s. 3131 - 3149
Hlavní autoři:	Dai, Xuefei, Niu, Jing, Xu, Yanxin
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Berlin/Heidelberg Springer Berlin Heidelberg 01.08.2023 Springer Nature B.V
Témata:	Algorithms Computational Mathematics and Numerical Analysis Integral equations Least squares Linear algebra Mathematical and Computational Engineering Mathematics Mathematics and Statistics Mathematics of Computing Methods Noise control Numerical analysis Original Research Polynomials Theory of Computation Volterra integral equations 65R20 Reproducing kernel space Quasi-Newton’s method Least-square method 33F05 Nonlinear Volterra integral equation
ISSN:	1598-5865, 1865-2085
On-line přístup:	Získat plný text
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