Solving a nonlinear Volterra-Fredholm integro-differential equation with weakly singular kernels

• Autorzy: Touati Sami , Lemita Samir , Ghiat Mourad , Aissaoui Mohamed-Zine
• Języki publikacji: EN

Abstrakty

EN

The aim of the current work is to investigate the numerical study of an integro-differential nonlinear Volterra-Fredholm equation with a weakly singular kernels. Our approximation technique is based on the product integration method in conjunction with an iterative scheme. The existence and uniqueness of the solution have been proved. We conclude the paper with numerical examples to illustrate the effectiveness of our method.

Słowa kluczowe

EN

Volterra-Fredholm; fixed point; product integration method; weakly singular kernel

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2019
• Tom: nr 62
• Strony: 155--168
• Opis fizyczny: Bibliogr. 19 poz.

Twórcy

autor

Touati Sami

• University of 8 Mai 1945 B.P.401, 24000, Guelma, Algeria

autor

Lemita Samir

• Ecole normale supérieure 30000 Ouargla, Algeria

autor

Ghiat Mourad

• University of 8 Mai 1945 B.P. 401, 24000, Guelma, Algeria

autor

Aissaoui Mohamed-Zine

• University of 8 Mai 1945 B.P.401, 24000, Guelma, Algeria

Bibliografia

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• [17] Touati S., Aissaoui M.Z., Lemita S., Guebbai H., Investigation approach for a nonlinear singular Fredholm integro-differential equation, To appear in Bol. Soc. Paran. Mat.
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Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).