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A computational method for nonlinear Burgers’ equation using quartic-trigonometric tension B-splines
(Springer Medizin, 2022)
This work proposes a finite element method emphasizing with quartic-trigonometric basis functions for finding the numerical solution of nonlinear Burgers’ equation. The computational scheme is constructed by a discretized ...
Conditions to guarantee the existence of solutions for a nonlinear and implicit integro-differential equation with variable coefficients
(WILEY, 2022)
Using Babenko's approach, multivariate Mittag-Leffler (MM-L) function, and Krasnoselskii's fixed point theorem, we first investigate the existence of solutions to a Liouville-Caputo nonlinear integro-differential equation ...
A new maximal flow algorithm for solving optimization problems with linguistic capacities and flows
(ELSEVIER SCIENCE INC, 2022)
The maximal flow problems (MFPs) are among the most significant optimization problems in network flow theory with widespread and diverse applications. To represent qualitative aspects of uncertainty in the maximal flow ...
Analysis on determining the solution of fourth-order fuzzy initial value problem with Laplace operator
(AMER INST MATHEMATICAL SCIENCES-AIMS, 2022)
This study presents a new analytical method to extract the fuzzy solution of the fuzzy initial value problem (FIVP) of fourth-order fuzzy ordinary differential equations (FODEs) using the Laplace operator under the strongly ...
An algorithm for choosing a good shape parameter for radial basis functions method with a case study in image processing
(Elsevier B.V., 2022)
Some efficient radial basis functions (RBFs) have a free parameter called the shape parameter that controls the shape of approximating function. This parameter is mainly selected by trial and error related to the problem. ...
An efficient numerical method for solving m-polar fuzzy initial value problems
(Springer Science and Business Media Deutschland GmbH, 2022)
Several problems in the field of science and technology are modeled with information about the situation that is ambiguous, imprecise, or incomplete. That is, the information about values of parameters, functional ...
Finite-time stability of mild solution to time-delay fuzzy fractional differential systems under granular computing
(Springer Nature, 2022)
In this work, based on the concept of the granular Caputo fractional derivative, a class of fuzzy fractional differential systems with finite-time delay is investigated. We firstly introduce the concept of Mittag-Leffler ...
Attractiveness of pseudo almost periodic solutions for delayed cellular neural networks in the context of fuzzy measure theory in matrix-valued fuzzy spaces
(SPRINGER HEIDELBERG, 2022)
In this paper, considering fuzzy measure theory and matrix-valued fuzzy norm spaces, we study a differential system of non-autonomous cellular neural networks with mixed delays (NA-CNN-MD). Our main goal is to investigate ...
Classical and intelligent methods in model extraction and stabilization of a dual-axis reaction wheel pendulum: a comparative study
(Elsevier B.V., 2022)
Controlling underactuated open-loop unstable systems is challenging. In this study, first, both nonlinear and linear models of a dual-axis reaction wheel pendulum (DA-RWP) are extracted by employing Lagrangian equations ...
Bifurcation and multiplicity of solutions of the navier-stokes equations in driven semi-elliptical cavity flow
(MDPI, 2022)
In this paper, bifurcations in the solution of the Navier-Stokes equations are studied and multiple solutions of the driven semi-elliptical cavity flow are presented. The two-dimensional steady incompressible driven viscous ...