التفاصيل البيبلوغرافية
| العنوان: |
NON-POLYNOMIAL CUBIC SPLINE METHOD USED TO FATHOM SINE GORDON EQUATIONS IN 3+1 DIMENSIONS. |
| المؤلفون: |
SATTAR, Rabia, AHMAD, Muhammad Ozair, PERVAIZ, Anjum, AHMED, Nauman, AKGUL, Ali, ABDULLAEV, Sherzod, ALSHAIKH, Noorhan, WANNAN, Rania, ASAD, Jihad |
| المصدر: |
Thermal Science; 2023, Vol. 27 Issue 4B, p3155-3170, 16p |
| مصطلحات موضوعية: |
COMMERCIAL space ventures, SPLINES, EQUATIONS, TIME management, WAVE equation |
| مستخلص: |
This study contains an algorithmic solution of the Sine Gordon equation in three space and time dimensional problems. For discretization, the central difference formula is used for the time variable. In contrast, space variable x, y, and z are discretized using the non-polynominal cubic spline functions for each. The proposed scheme brings the accuracy of order O(h2 + k2 + σ2 + τ2h2 + τ2 k2 + τ2σ2) by electing suitable parametric values. The paper also discussed the truncation error of the proposed method and obtained the stability analysis. Numerical problems are elucidated by this method and compared to results taken from the literature. [ABSTRACT FROM AUTHOR] |
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| قاعدة البيانات: |
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