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Journals / Sakarya University Journal of Science / 2021 / Volume: 25 Issue: 6

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

Falade Iyanda(Kano University of Science and Technology, P.M.B 3244 Wudil Kano State Nigeria)0000-0001-7572-5688
Baoku Ismael(Federal University, Dutsin-Ma, P.M.B. 5001, Dutsin-Ma, Katsina State, Nigeria)0000-0001-7572-5688
Tiamiyu Abdulgafar(Kano University of Science and Technology, P.M.B 3244 Wudil Kano State, Nigeria)0000-0001-7572-5688
Pages
—
Publication Date
2021-12-31
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

The reliability and efficiency of the proposed techniques are demonstrated using some examples available in literature.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we present numerical assessment of symmetric and non-symmetric kernel functions on non-homogenous Volterra integro-differential equations.
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Key Findings & Data: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.
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Conclusion & Impact:The reliability and efficiency of the proposed techniques are demonstrated using some examples available in literature.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Symmetric and non-symmetric kernel functions · exponentially fitted collocation approximate method · non-homogenous Volterra integro-differential equations exponentially fitted collocation approximate method

Abstract

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.

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Cite This Article

Iyanda, F., Ismael, B., Abdulgafar, T. (2021). Numerical Assessment of Symmetric and Non-Symmetric Kernel Functions on Second Order Non-Homogenous Volterra Integro-Differential Equations. Sakarya University Journal of Science, Volume: 25 Issue: 6. https://doi.org/10.16984/saufenbilder.668299

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