Solution of the Pythagorean fuzzy wave equation with Pythagorean fuzzy Fourier sine transform

被引：3
作者：
Akram, Muhammad [1 ]
Yousuf, Muhammad [1 ]
Allahviranloo, Tofigh [2 ]
机构：
[1] Univ Punjab, Dept Math, New Campus, Lahore, Pakistan
[2] Istinye Univ, Fac Engn & Nat Sci, Istanbul, Turkiye
来源：
GRANULAR COMPUTING | 2023年 / 8卷 / 06期
关键词：
Generalized Hukuhara-partial differentiability; Pythagorean fuzzy multivariate function; Wave equation; Multivariate Fourier sine transform; GENERALIZED HUKUHARA DIFFERENTIABILITY; VALUED FUNCTIONS; INTERVAL;
D O I：
10.1007/s41066-023-00400-2
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
The main objective of this research article is to study the analytical solution of the Pythagorean fuzzy wave equation under the generalized Hukuhara partial differentiability using the Pythagorean fuzzy Fourier sine transform. Some concepts of multivariate Pythagorean fuzzy-valued functions and their gH-partial differentiability along with integrability are given. The notions of Pythagorean fuzzy Fourier sine transform and Pythagorean fuzzy Fourier inverse sine transform are introduced along with some fundamental properties. Furthermore, a new Pythagorean fuzzy wave equation model is developed under gH-differentiability using the Pythagorean fuzzy Fourier sine transform. Some numerical examples are solved with the proposed method and their solutions are displayed graphically to verify and support theoretical results. A practical application of the Pythagorean fuzzy wave equation to magnetic resonance imaging is also described.
引用
收藏
页码：1149 / 1171
页数：23
相关论文
共 42 条
[1]   Solving Pythagorean fuzzy partial fractional diffusion model using the Laplace and Fourier transforms [J].
Akram, Muhammad ;
Ihsan, Tayyaba .
GRANULAR COMPUTING, 2023, 8 (04) :689-707
[2]   Solving Pythagorean fuzzy fractional differential equations using Laplace transform [J].
Akram, Muhammad ;
Ihsan, Tayyaba ;
Allahviranloo, Tofigh .
GRANULAR COMPUTING, 2023, 8 (03) :551-575
[3]   An efficient numerical method for solving m-polar fuzzy initial value problems [J].
Akram, Muhammad ;
Saqib, Muhammad ;
Bashir, Shahida ;
Allahviranloo, Tofigh .
COMPUTATIONAL & APPLIED MATHEMATICS, 2022, 41 (04)
[4]   Fully Pythagorean fuzzy linear programming problems with equality constraints [J].
Akram, Muhammad ;
Ullah, Inayat ;
Allahviranloo, Tofigh ;
Edalatpanah, S. A. .
COMPUTATIONAL & APPLIED MATHEMATICS, 2021, 40 (04)
[5]   The exact solutions of fuzzy wave-like equations with variable coefficients by a variational iteration method [J].
Allahviranloo, T. ;
Abbasbandy, S. ;
Rouhparvar, H. .
APPLIED SOFT COMPUTING, 2011, 11 (02) :2186-2192
[6]  
Allahviranloo T, 2010, IRAN J FUZZY SYST, V7, P33
[7]  
Allahviranloo T., 2002, Computational Methods in Applied Mathematics, V2, DOI 10.2478/cmam-2002-0014
[8]  
Allahviranloo T, 2009, Int. J. Contemp. Math. Sci., V4, P105
[9]   A fuzzy solution of wave equation by FFS-transform [J].
Allahviranloo, Tofigh ;
Ghobadi, Mostafa ;
Matinfar, Mashallah .
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2024, 40 (01)
[10]   Fuzzy Numerical Solution via Finite Difference Scheme of Wave Equation in Double Parametrical Fuzzy Number Form [J].
Almutairi, Maryam ;
Zureigat, Hamzeh ;
Izani Ismail, Ahmad ;
Fareed Jameel, Ali .
MATHEMATICS, 2021, 9 (06)
12345