A semi numerical-analytical method for solving nonlinear integro-differential equations
Küçük Resim Yok
Tarih
2009
Yazarlar
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Dergi ISSN
Cilt Başlığı
Yayıncı
Maltepe Üniversitesi
Erişim Hakkı
CC0 1.0 Universal
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
Özet
In this paper, we present a new scheme based on Taylor series to convert high-order nonlinear Volterra-Fredholm integro-differential equations to a M-order linear differential equations which may be integrated using classical methods. Also, the objective of this paper is to assess both the applicability and the accuracy of linearization method in several problems of general high-order nonlinear Volterra-Fredholm integro-differential equations. This method provides piecewise linear differential equations which can be easily integrated. It is shown that the accuracy of linearization method can be substantially improved by employing variable steps which adjust themselves to the solution. Numerical examples are used to illustrate the preciseness and effectiveness of the proposed method.
Açıklama
Anahtar Kelimeler
Kaynak
International Conference of Mathematical Sciences
WoS Q Değeri
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Sayı
Künye
Shali, J. A. ve Darania, P. (2009). A semi numerical-analytical method for solving nonlinear integro-differential equations. Maltepe Üniversitesi. s. 213.
