SOLVING INTEGRO-DIFFERENTIAL EQUATIONS USING EXPONENTIALLY FITTED COLLOCATION APPROXIMATE TECHNIQUE(EFCAT)

Falade IYANDA

doi:https://doi.org/10.23884/mejs.2019.5.1.08

Makale detayları

SOLVING INTEGRO-DIFFERENTIAL EQUATIONS USING EXPONENTIALLY FITTED COLLOCATION APPROXIMATE TECHNIQUE(EFCAT)

Yazarlar:

Falade IYANDA

Yayıncı:

Bilal GÜMÜŞ

Ana Başlıklar:

Matematik

Dergi:

Middle East Journal of Science 2019 Vol.5 Issue 1, pp.73-85

Belge Tipi:

Makale

Yayın Tarihi:

6/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000564763

Sıklık:

İki Yıllık

eISSN:

2618-6136

DOI:

https://doi.org/10.23884/mejs.2019.5.1.08

Özet:

 


In this paper, both linear Volterra and Fredholm integro-differential equations are considered. We propose  and  implement Exponentially  Fitted Collocation  Approximate Technique  (EFCAT) to  solve these types of equations. The collocated perturbed Integro-differential equations were transformed in to square matrix form which eventually solved using MAPLE 18 software. In order to investigate the accuracy of the solution with a finite number of computation length (N=8 and N=10) four examples were considered. To show the efficiency of the present method, numerical experiments are performed on some applied problems which have been solved by some existing methods and the numerical solutions are  compared with available results in the literature  and that of analytical solution. The numerical results obtain show the simplicity and efficiency of the method.

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Makale detayları

SOLVING INTEGRO-DIFFERENTIAL EQUATIONS USING EXPONENTIALLY FITTED COLLOCATION APPROXIMATE TECHNIQUE(EFCAT)

Yazarlar: Falade IYANDA

Yayıncı: Bilal GÜMÜŞ

Ana Başlıklar: Matematik

Dergi: Middle East Journal of Science 2019 Vol.5 Issue 1, pp.73-85

Belge Tipi: Makale

Yayın Tarihi: 6/2019

Belge Dili: İngilizce

Document ID (Org No.): 2000564763

Sıklık: İki Yıllık

eISSN: 2618-6136

DOI: https://doi.org/10.23884/mejs.2019.5.1.08

Sayı

Yazarlar:

Falade IYANDA

Yayıncı:

Bilal GÜMÜŞ

Ana Başlıklar:

Matematik

Dergi:

Middle East Journal of Science 2019 Vol.5 Issue 1, pp.73-85

Belge Tipi:

Makale

Yayın Tarihi:

6/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000564763

Sıklık:

İki Yıllık

eISSN:

2618-6136

DOI:

https://doi.org/10.23884/mejs.2019.5.1.08