دورية أكاديمية

Fuzzy Numerical Solution via Finite Difference Scheme of Wave Equation in Double Parametrical Fuzzy Number Form

التفاصيل البيبلوغرافية
العنوان: Fuzzy Numerical Solution via Finite Difference Scheme of Wave Equation in Double Parametrical Fuzzy Number Form
المؤلفون: Maryam Almutairi, Hamzeh Zureigat, Ahmad Izani Ismail, Ali Fareed Jameel
المصدر: Mathematics, Vol 9, Iss 6, p 667 (2021)
بيانات النشر: MDPI AG, 2021.
سنة النشر: 2021
المجموعة: LCC:Mathematics
مصطلحات موضوعية: finite difference schemes, double parametric form of fuzzy number, fuzzy partial differential equations, fuzzy wave equation, Mathematics, QA1-939
الوصف: The use of fuzzy partial differential equations has become an important tool in which uncertainty or vagueness exists to model real-life problems. In this article, two numerical techniques based on finite difference schemes that are the centered time center space and implicit schemes to solve fuzzy wave equations were used. The core of the article is to formulate a new form of centered time center space and implicit schemes to obtain numerical solutions fuzzy wave equations in the double parametric fuzzy number approach. Convex normalized triangular fuzzy numbers are represented by fuzziness, based on a double parametric fuzzy number form. The properties of fuzzy set theory are used for the fuzzy analysis and formulation of the proposed numerical schemes followed by the new proof stability thermos under in the double parametric form of fuzzy numbers approach. The consistency and the convergence of the proposed scheme are discussed. Two test examples are carried out to illustrate the feasibility of the numerical schemes and the new results are displayed in the forms of tables and figures where the results show that the schemes have not only been effective for accuracy but also for reducing computational cost.
نوع الوثيقة: article
وصف الملف: electronic resource
اللغة: English
تدمد: 2227-7390
Relation: https://www.mdpi.com/2227-7390/9/6/667; https://doaj.org/toc/2227-7390
DOI: 10.3390/math9060667
URL الوصول: https://doaj.org/article/a2d71487dedd4525a3b5a0f0d0388246
رقم الأكسشن: edsdoj.2d71487dedd4525a3b5a0f0d0388246
قاعدة البيانات: Directory of Open Access Journals
الوصف
تدمد:22277390
DOI:10.3390/math9060667