“Mehdi Dehghan Takht Fooladi”

Tel:  +98 21 22290928
Fax:  +98 21 22290648
Home Page:  ce.aut.ac.ir/~dehghan

IPM Positions

Non Resident Researcher, School of Computer Science
(2005 - Present )

Past IPM Positions

Associate Researcher (non-resident), School of Mathematics
(2000 - 2005)

Non IPM Affiliations

Assistant Professor of Amirkabir University of Technology, Iran

Research Interests

Computer Networking, Fault Tolerant Computing, Soft Computing

Research Activities

The number of physical phenomena modeled by partial differential equations Involving non-linear integral terms is constantly increasing. These terns may appear in the boundary conditions or in the governing equation itself. In the present research the integral term appears in the boundary conditions. Finite difference schemes will be used to solve the three- dimensional time-dependent diffusion equation with a non-local boundary specification. In these methods locally one dimensional procedures will be used to extend the one-dimensional techniques to solve the given three-dimensional problem. Numerical integration procedures will be employed to overcome the non-local boundary specification. Results from a numerical experiment will be presented, including error estimates derived in the maximum norm.
Key Word: Three- Dimensional Diffusion Equation, Explicit Schemes, Locally One Dimensional Methods, Non-local Conditions-Numerical Integration Techniques, Time Splitting Procedures

Present Research Project at IPM

Numerical Solution of three-Dimension Diffusion Equation with a Non-local Boundary Specification
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