Numerical Assessment of Symmetric and Non-Symmetric Kernel Functions on Second Order Non-Homogenous Volterra Integro-Differential Equations

Falade IYANDA; Baoku ISMAEL; Tiamiyu ABDULGAFAR

doi:https://doi.org/10.16984/saufenbilder.668299

Makale detayları

Numerical Assessment of Symmetric and Non-Symmetric Kernel Functions on Second Order Non-Homogenous Volterra Integro-Differential Equations

Yazarlar:

Falade IYANDA | Baoku ISMAEL | Tiamiyu ABDULGAFAR

Ana Başlıklar:

Matematik

Dergi:

Sakarya University Journal of Science 2021 Vol.25 Issue 6, pp.1263-1274

Belge Tipi:

Makale

Yayın Tarihi:

12/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000555977

DOI:

https://doi.org/10.16984/saufenbilder.668299

Özet:

 

In this paper, we present numerical assessment of symmetric and non-symmetric kernel functions on non-homogenous Volterra integro-differential equations. Simple MAPLE 18 software commands codes procedures are employ based on newly introduced techniques: exponentially fitted collocation approximation method and Adomian decomposition method for the numerical solutions of the non-homogenous Volterra integro-differential equations. The procedures are sought to obtain convergent point of the problems. Considering the property of symmetric and non-symmetric kernel ( Kt,s=Ks,t and Kt,s≠Ks,t ), the computational lengths are considered to archive the best numerical solutions for the four examples considered. The reliability and efficiency of the proposed techniques are demonstrated using some examples available in literature.

Makale detayları

Numerical Assessment of Symmetric and Non-Symmetric Kernel Functions on Second Order Non-Homogenous Volterra Integro-Differential Equations

Yazarlar: Falade IYANDA | Baoku ISMAEL | Tiamiyu ABDULGAFAR

Ana Başlıklar: Matematik

Dergi: Sakarya University Journal of Science 2021 Vol.25 Issue 6, pp.1263-1274

Belge Tipi: Makale

Yayın Tarihi: 12/2021

Belge Dili: İngilizce

Document ID (Org No.): 2000555977

DOI: https://doi.org/10.16984/saufenbilder.668299

Sayı

Yazarlar:

Falade IYANDA | Baoku ISMAEL | Tiamiyu ABDULGAFAR

Ana Başlıklar:

Matematik

Dergi:

Sakarya University Journal of Science 2021 Vol.25 Issue 6, pp.1263-1274

Belge Tipi:

Makale

Yayın Tarihi:

12/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000555977

DOI:

https://doi.org/10.16984/saufenbilder.668299