Parameter Continuation Method for Solving Nonlinear Fredholm Integral Equations of the Second Kind

Parameter Continuation Method for Solving Nonlinear Fredholm Integral Equations of the Second Kind

In this paper, nonlinear Fredholm integral equation of the second kind is solved by using parameter continuation method. Then, we propose parameter continuation method to solve perturbed nonlinear Fredholm integral equation of the second kind, which appear as an extension of the method of contractiv...

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Veröffentlicht in:Bulletin of the Malaysian Mathematical Sciences Society 2019-11, Vol.42 (6), p.3379-3407
Hauptverfasser: Thanh Binh, Ngo, Van Ninh, Khuat
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Continuation methods
Fredholm equations
Integral equations
Mathematics
Mathematics and Statistics
Nonlinear equations
Parameters
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Zusammenfassung:In this paper, nonlinear Fredholm integral equation of the second kind is solved by using parameter continuation method. Then, we propose parameter continuation method to solve perturbed nonlinear Fredholm integral equation of the second kind, which appear as an extension of the method of contractive mapping and parameter continuation method for solving nonlinear Fredholm integral equation of the second kind. Illustrative examples are presented to show the effectiveness and convenience of parameter continuation method.
ISSN:0126-6705
2180-4206
DOI:10.1007/s40840-018-0700-3