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Homotopy perturbation method for fractional shallow water equations
Other Title(s)
طريقة هوموتوبي للتشتت لحل معادلات المياه الضحلة الكسرية
Joint Authors
al-Khalid, Kamel
al-Saafin, Muhammad K.
Source
Sultan Qaboos University Journal for Science
Issue
Vol. 19, Issue 1 (30 Jun. 2014), pp.74-86, 13 p.
Publisher
Sultan Qaboos University College of Science
Publication Date
2014-06-30
Country of Publication
Oman
No. of Pages
13
Main Subjects
Topics
Abstract AR
ف هذا البحث تم استخدام طر قٌة هوموتوب للتشتت لإ جٌاد الحلول العدد ةٌ لأنظمةمن المعادلات التفاضل ةٌ الجزئ ةٌ الكسر ةٌ الت تمثل الم اٌه الضحلة.
المشتقات الكسر ةٌ معرفة بطر قٌة كابوتا.
قمنا بتطب قٌ كلا الطر قٌت نٌ, طر قٌة هوموتوب التحل لٌ ةٌ وطر قٌة هوموتوب للتشتت لحل النظام الذي مٌثل الم اٌه الضحلة ذات المشتقات الكسر ةٌ الزمن ةٌ، قمنا بإ جٌاد الحلول على شكل متسلسلات هندس ةٌ متقاربة، النتائج ب نٌت ان الطر قٌت نٌ تتسمان بالسهولة والدقة، ح ثٌ تم توض حٌ ذلك من خلال بعض الامثلة والرسومات.
Abstract EN
In this paper, the homotopy perturbation method is adopted to find explicit and numerical solutions for systems of non-linear fractional shallow water equations.
The fractional derivatives are described in the Caputo sense.
We apply both the homotopy perturbation method and the homotopy analysis method, to solve certain shallow water equations with time-fractional derivatives, and explicitly construct convergent power series solutions.
The results obtained reveal that these methods are both very effective and simple for finding approximate solutions.
Some numerical examples and plots are presented to illustrate the efficiency and reliability of these methods
American Psychological Association (APA)
al-Khalid, Kamel& al-Saafin, Muhammad K.. 2014. Homotopy perturbation method for fractional shallow water equations. Sultan Qaboos University Journal for Science،Vol. 19, no. 1, pp.74-86.
https://search.emarefa.net/detail/BIM-523750
Modern Language Association (MLA)
al-Khalid, Kamel& al-Saafin, Muhammad K.. Homotopy perturbation method for fractional shallow water equations. Sultan Qaboos University Journal for Science Vol. 19, no. 1 (2014), pp.74-86.
https://search.emarefa.net/detail/BIM-523750
American Medical Association (AMA)
al-Khalid, Kamel& al-Saafin, Muhammad K.. Homotopy perturbation method for fractional shallow water equations. Sultan Qaboos University Journal for Science. 2014. Vol. 19, no. 1, pp.74-86.
https://search.emarefa.net/detail/BIM-523750
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 86
Record ID
BIM-523750