# Numerical Solution for Poisson Fractional Equation Via Finite Differences Theta-method

Volume 12, Issue 2, pp 132-142
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### Authors

Mohammad Aslefallah - Department of Mathematics, Imam Khomeini International University, Qazvin, Iran. Davood Rostamy - Department of Mathematics, Imam Khomeini International University, Qazvin, Iran.

### Abstract

In this paper we examine $\theta$-method for solving fractional Possion differential equations for$(0\leq\theta\leq 1)$. Consistency, stability and convergence analysis of the method is discussed. At the end, numerical examples have been presented. The obtained results reveal that the proposed technique is very effective, convenient and quite accurate to such considered problems.

### Share and Cite

##### ISRP Style

Mohammad Aslefallah, Davood Rostamy, Numerical Solution for Poisson Fractional Equation Via Finite Differences Theta-method, Journal of Mathematics and Computer Science, 12 (2014), no. 2, 132-142

##### AMA Style

Aslefallah Mohammad, Rostamy Davood, Numerical Solution for Poisson Fractional Equation Via Finite Differences Theta-method. J Math Comput SCI-JM. (2014); 12(2):132-142

##### Chicago/Turabian Style

Aslefallah, Mohammad, Rostamy, Davood. "Numerical Solution for Poisson Fractional Equation Via Finite Differences Theta-method." Journal of Mathematics and Computer Science, 12, no. 2 (2014): 132-142

### Keywords

• Fractional PDE (FPDE)
• Finite differences $\theta$-method
• Riemann-Liouville derivative
• Shifted Grunwald formula.

•  65M06
•  65N12
•  26A33

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