الملخص
In this paper, numerical solutions for nonlinear coupled Korteweg-de Vries(abbreviated as KdV) equations are calculated by the Sinc-collocation method. This approach is based on a global collocation method using Sinc basis functions. The first step is to discretize time derivative of the KdV equations by a classic finite difference formula, while the space derivatives are approximated by a weighted scheme. Sinc functions are used to solve these two equations. Soliton solutions are constructed to show the nature of the solution. The numerical results are shown to demonstrate the efficiency of the newly proposed method.
الكلمات المفتاحية
بيانات النشر
- المعرّف الرقمي
- 10.24200/squjs.vol20iss2pp19-30
- المجلة
- مجلة جامعة السلطان قابوس للعلوم, 20(2), 19
- الناشر
- جامعة السلطان قابوس
- وصول مفتوح
- وصول مفتوح ذهبي
- الترخيص
- CC BY 4.0
اقتبس هذه المقالة
APA 7
Al‐Khaled, K. (2015). Numerical Wave Solutions for Nonlinear Coupled Equations using Sinc-Collocation Method. Sultan Qaboos University Journal for Science, 20(2), 19. https://doi.org/10.24200/squjs.vol20iss2pp19-30
MLA 9
Al‐Khaled, Kamel. "Numerical Wave Solutions for Nonlinear Coupled Equations using Sinc-Collocation Method." Sultan Qaboos University Journal for Science, vol. 20, no. 2, 2015, pp. 19. https://doi.org/10.24200/squjs.vol20iss2pp19-30.
شيكاغو (المؤلف–التاريخ)
Al‐Khaled, Kamel. 2015. "Numerical Wave Solutions for Nonlinear Coupled Equations using Sinc-Collocation Method." Sultan Qaboos University Journal for Science 20 (2): 19. https://doi.org/10.24200/squjs.vol20iss2pp19-30.
هارفارد
Al‐Khaled, K. (2015) 'Numerical Wave Solutions for Nonlinear Coupled Equations using Sinc-Collocation Method', Sultan Qaboos University Journal for Science, 20(2), pp. 19. doi:10.24200/squjs.vol20iss2pp19-30.
فانكوفر
Al‐Khaled K. Numerical Wave Solutions for Nonlinear Coupled Equations using Sinc-Collocation Method. Sultan Qaboos University Journal for Science. 2015;20(2):19. doi:10.24200/squjs.vol20iss2pp19-30
IEEE
K. Al‐Khaled, "Numerical Wave Solutions for Nonlinear Coupled Equations using Sinc-Collocation Method," Sultan Qaboos University Journal for Science, vol. 20, no. 2, pp. 19, 2015, doi: 10.24200/squjs.vol20iss2pp19-30.