Solving two-point fuzzy boundary value problem using variational iteration method

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
A. Armand ◽  
Z. Gouyandeh
Keyword(s):  
Boundary Value Problem ◽  
Iteration Method ◽  
Boundary Value ◽  
Variational Iteration Method ◽  
Variational Iteration ◽  
Fuzzy Boundary

scholarly journals Analytical solutions to contact problem with fractional derivatives in the sense of Caputo

2020 ◽  
Vol 24 (Suppl. 1) ◽  
pp. 313-323
Author(s):  
Muhammad Noor ◽  
Muhammad Rafiq ◽  
Salah-Ud-Din Khan ◽  
Muhammad Qureshi ◽  
Muhammad Kamran ◽  
...  
Keyword(s):  
Boundary Value Problem ◽  
Iteration Method ◽  
Boundary Value ◽  
Variational Iteration Method ◽  
Contact Problems ◽  
Function Technique ◽  
Fractional Boundary Value Problem ◽  
Variational Iteration ◽  
Residual Errors ◽  
Fractional Boundary Value Problems

The current study extends the applications of the variational iteration method for the analytical solution of fractional contact problems. The problem involves Caputo sense while calculating the derivative of fractional order, we apply the Penalty function technique to transform it into a system of fractional boundary value problems coupled with a known obstacle. The variational iteration method is employed to find the series solution of fractional boundary value problem. For different values of fractional parameters, residual errors of solutions are plotted to make sure the convergence and accuracy of the solution. The reasonably accurate results show that one of the highly effective and stable methods for the solution of fractional boundary value problem is the method of variational iteration.

scholarly journals Analytical solutions to contact problem with fractional derivatives in the sense of Caputo

2020 ◽  
Vol 24 (Suppl. 1) ◽  
pp. 313-323
Author(s):  
Muhammad Noor ◽  
Muhammad Rafiq ◽  
Salah-Ud-Din Khan ◽  
Muhammad Qureshi ◽  
Muhammad Kamran ◽  
...  
Keyword(s):  
Boundary Value Problem ◽  
Iteration Method ◽  
Boundary Value ◽  
Variational Iteration Method ◽  
Contact Problems ◽  
Function Technique ◽  
Fractional Boundary Value Problem ◽  
Variational Iteration ◽  
Residual Errors ◽  
Fractional Boundary Value Problems

The current study extends the applications of the variational iteration method for the analytical solution of fractional contact problems. The problem involves Caputo sense while calculating the derivative of fractional order, we apply the Penalty function technique to transform it into a system of fractional boundary value problems coupled with a known obstacle. The variational iteration method is employed to find the series solution of fractional boundary value problem. For different values of fractional parameters, residual errors of solutions are plotted to make sure the convergence and accuracy of the solution. The reasonably accurate results show that one of the highly effective and stable methods for the solution of fractional boundary value problem is the method of variational iteration.

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