A general linear method to evaluate the hardening behaviour of metals at large strain with full-field measurements

Strain ◽  
2018 ◽  
Vol 54 (3) ◽  
pp. e12265 ◽  
Author(s):  
M. Rossi ◽  
A. Lattanzi ◽  
F. Barlat
Keyword(s):  
Large Strain ◽  
Linear Method ◽  
Field Measurements ◽  
General Linear ◽  
Full Field ◽  
General Linear Method

scholarly journals Fuzzy Volterra Integro-Differential Equations Using General Linear Method

Symmetry ◽  
2019 ◽  
Vol 11 (3) ◽  
pp. 381 ◽  
Author(s):  
Zanariah Abdul Majid ◽  
Faranak Rabiei ◽  
Fatin Abd Hamid ◽  
Fudziah Ismail
Keyword(s):  
Differential Equations ◽  
Lagrange Interpolation ◽  
Linear Method ◽  
Interpolation Polynomial ◽  
General Linear ◽  
Kutta Method ◽  
Lagrange Interpolation Polynomial ◽  
Runge Kutta Method ◽  
General Linear Method ◽  
Generalized Hukuhara Differentiability

In this paper, a fuzzy general linear method of order three for solving fuzzy Volterra integro-differential equations of second kind is proposed. The general linear method is operated using the both internal stages of Runge-Kutta method and multivalues of a multisteps method. The derivation of general linear method is based on the theory of B-series and rooted trees. Here, the fuzzy general linear method using the approach of generalized Hukuhara differentiability and combination of composite Simpson’s rules together with Lagrange interpolation polynomial is constructed for numerical solution of fuzzy volterra integro-differential equations. To illustrate the performance of the method, the numerical results are compared with some existing numerical methods.

scholarly journals Numerical solutions of Volterra integro-differential equations using General Linear Method

2019 ◽  
Vol 9 (4) ◽  
pp. 433-444 ◽  
Author(s):  
Faranak Rabiei ◽  
◽  
Fatin Abd Hamid ◽  
Zanariah Abd Majid ◽  
Fudziah Ismail ◽  
...  
Keyword(s):  
Differential Equations ◽  
Numerical Solutions ◽  
Linear Method ◽  
General Linear ◽  
General Linear Method

scholarly journals Numerical simulation of fuzzy differential equations using general linear method and B-series

2017 ◽  
Vol 9 (9) ◽  
pp. 168781401771541 ◽  
Author(s):  
Faranak Rabiei ◽  
Fatin Abd Hamid ◽  
Mohammad M Rashidi ◽  
Fudziah Ismail
Keyword(s):  
Numerical Simulation ◽  
Differential Equations ◽  
Linear Method ◽  
General Linear ◽  
General Linear Method

Initial Value Methods for the Numerical Simulation of Fuzzy Two-Point Boundary Value Problems Using General Linear Method

2021 ◽  
Vol 10 (1) ◽  
pp. 94-126
Author(s):  
Basem Attili
Keyword(s):  
Numerical Simulation ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Linear Method ◽  
General Linear ◽  
Point Boundary ◽  
Initial Value ◽  
Step Method ◽  
General Linear Method ◽  
Runge Kutta

This article considers the numerical simulation of fuzzy two-point boundary value problems (FBVP) using general linear method (GLM). The author derived the method, which is a combination of a Runge-Kutta type method and multi-step method. It is originally designed to solve initial value problems. It requires fewer function evaluations than the traditional Runge-Kutta methods making it computationally more efficient in achieving the required accuracy. The author will utilize the combination of the GLM with initial value methods to solve the linear fuzzy BVP's and a shooting-like method for the nonlinear cases. Numerical testing and simulation of several examples, considered by other authors, will be presented to show the efficiency of the proposed method.

Sign in / Sign up

Export Citation Format

Share Document