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Novel Solution for Time-fractional Klein-Gordon Equation with Different Applications

التفاصيل البيبلوغرافية
العنوان: Novel Solution for Time-fractional Klein-Gordon Equation with Different Applications
المؤلفون: Manju Kashyap, S. Pratap Singh, Surbhi Gupta, Purnima Lala Mehta
المصدر: International Journal of Mathematical, Engineering and Management Sciences, Vol 8, Iss 3, Pp 537-546 (2023)
بيانات النشر: Ram Arti Publishers, 2023.
سنة النشر: 2023
المجموعة: LCC:Technology
LCC:Mathematics
مصطلحات موضوعية: caputo fractional derivative, laplace transform, perturbation, homotopy, klein-gordon equation, Technology, Mathematics, QA1-939
الوصف: In this paper, for the first time, the Laplace Homotopy Perturbation Method (LHPM), which is the coupling of the Laplace transform and the Homotopy Perturbation Method, is employed to solve non-linear time-fractional Klein-Gordon (TFKG) equations. In other words, for the first time in literature, LHPM is used to solve non-linear TFKG equations. First of all, the procedure of LHPM on TFKG with Caputo fractional derivative is developed. Further, the developed approach of LHPM on TFKG is used for two different examples. This in turn proves the versatile nature of the proposed method. In addition, the validity of the approach is proved by comparing the numerical solutions of both examples with their exact solution. Finally, the comparison of relative errors calculated in each example proves the efficiency and effectiveness of the proposed method on TFKG equations.
نوع الوثيقة: article
وصف الملف: electronic resource
اللغة: English
تدمد: 2455-7749
العلاقة: https://www.ijmems.in/cms/storage/app/public/uploads/volumes/30-IJMEMS-22-0510-8-3-537-546-2023.pdfTest; https://doaj.org/toc/2455-7749Test
DOI: 10.33889/IJMEMS.2023.8.3.030
الوصول الحر: https://doaj.org/article/68205a2dd93d416d9916361099b497acTest
رقم الانضمام: edsdoj.68205a2dd93d416d9916361099b497ac
قاعدة البيانات: Directory of Open Access Journals
الوصف
تدمد:24557749
DOI:10.33889/IJMEMS.2023.8.3.030