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Journals / Results in Nonlinear Analysis / 2019 / Cilt: 2 Sayı: 4

Series Form Solution to Two Dimensional Heat Equation of Fractional Order

Atta Ullah(Department of Mathematics, University of Malakand, Chakadara Dir(L), Khyber Pakhtunkhwa, Pakistan.)
Kamal Shah(Department of Mathematics, University of Malakand, Chakadara Dir(L), Khyber Pakhtunkhwa, Pakistan)
Rahmat Ali Khan(Department of Mathematics, University of Malakand, Chakadara Dir(L), Khyber Pakhtunkhwa, Pakistan.)
Pages
193–199
Publication Date
2019-12-25
DOI
—
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AI Summary & Key Takeaways

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

Some examples are given to illustrate the establish results.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this article we develop series type solution to two dimensional wave equation involving external source term of fractional order.
📊
Key Findings & Data:For the require result, we use iterative Laplace transform.
💡
Conclusion & Impact:Some examples are given to illustrate the establish results.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Two dimensional wave equation · Series solution · Iterative Laplace transform

Abstract

In this article we develop series type solution to two dimensional wave equation involving external source term of fractional order. For the require result, we use iterative Laplace transform. The solution is computed in series form which is rapidly convergent to exact value. Some examples are given to illustrate the establish results.

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Cite This Article

Ullah, A., Shah, K., Khan, R. A. (2019). Series Form Solution to Two Dimensional Heat Equation of Fractional Order. Results in Nonlinear Analysis, Cilt: 2 Sayı: 4, 193–199. https://ajindex.com/articles/1537751

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