Effect of heat transfer on Jeffery–Hamel Cu/Ag–water nanofluid flow with uncertain volume fraction using the double parametric fuzzy homotopy analysis method

L Verma, R Meher - The European Physical Journal Plus, 2022 - Springer
This work discusses heat transfer effects on magnetohydrodynamics Jeffery–Hamel
nanofluid flow with various nanoparticles, namely copper Cu and silver Ag. This work …

Applications of fuzzy Laplace transforms

S Salahshour, T Allahviranloo - Soft computing, 2013 - Springer
A natural way to model dynamic systems under uncertainty is to use fuzzy initial value
problems (FIVPs) and related uncertain systems. In this paper, we express the fuzzy Laplace …

Improved predictor–corrector method for solving fuzzy initial value problems

T Allahviranloo, S Abbasbandy, N Ahmady… - Information Sciences, 2009 - Elsevier
In this paper, an improved predictor–corrector (IPC) method is proposed to solve the “fuzzy
initial value problem”. The IPC method is generated by combining an explicit three-step …

The variational iteration method for solving n-th order fuzzy differential equations

H Jafari, M Saeidy, D Baleanu - Central European Journal of Physics, 2012 - Springer
The variational iteration method (VIM) proposed by Ji-Huan He is a new analytical method
for solving linear and nonlinear equations. In this paper, the variational iteration method has …

[HTML][HTML] Fuzzy approximate solutions of second-order fuzzy linear boundary value problems

X Guo, D Shang, X Lu - Boundary Value Problems, 2013 - Springer
In this paper, approximate solutions of second-order linear differential equations with fuzzy
boundary conditions, in which coefficient functions maintain the sign, are investigated. The …

Fuzzy neural network for solving a system of fuzzy differential equations

M Mosleh - Applied Soft Computing, 2013 - Elsevier
Fuzzy neural network (FNN) can be trained with crisp and fuzzy data. This paper presents a
novel approach to solve system of fuzzy differential equations (SFDEs) with fuzzy initial …

Numerical solution of fuzzy arbitrary order predator-prey equations

S Tapaswini, S Chakraverty - Applications and …, 2013 - digitalcommons.pvamu.edu
This paper seeks to investigate the numerical solution of fuzzy arbitrary order predator-prey
equations using the Homotopy Perturbation Method (HPM). Fuzziness in the initial …

Euler method for solving hybrid fuzzy differential equation

T Allahviranloo, S Salahshour - Soft Computing, 2011 - Springer
In this paper, we study the numerical method for solving hybrid fuzzy differential using Euler
method under generalized Hukuhara differentiability. To this end, we determine the Euler …

Numerical Solution of Second‐Order Fuzzy Differential Equation Using Improved Runge‐Kutta Nystrom Method

F Rabiei, F Ismail, A Ahmadian… - Mathematical Problems …, 2013 - Wiley Online Library
We develop the Fuzzy Improved Runge‐Kutta Nystrom (FIRKN) method for solving second‐
order fuzzy differential equations (FDEs) based on the generalized concept of higher‐order …

Simulation and evaluation of fuzzy differential equations by fuzzy neural network

M Mosleh, M Otadi - Applied Soft Computing, 2012 - Elsevier
In this paper, a novel hybrid method based on learning algorithm of fuzzy neural network for
the solution of differential equation with fuzzy initial value is presented. Here neural network …