The following information was submitted:
Transactions: WSEAS TRANSACTIONS ON MATHEMATICS
Transactions ID Number: 28-661
Full Name: Milan Tuba
Position: Professor
Age: ON
Sex: Male
Address: Faculty of Mathematics, Studentski trg 16, 11000, Belgrade, Serbia
Country: YUGOSLAVIA
Tel: +381 64 865 0052
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E-mail address: tubamilan@ptt.rs
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Title of the Paper: An Algorithm for Creation of an Optimized Adaptive Grid for Improved Explicit Finite Difference Scheme
Authors as they appear in the Paper: Raka Jovanovic, Milan Tuba, Dana Simian
Email addresses of all the authors: rakabog@yahoo.com,tubamilan@ptt.rs,d_simian@yahoo.com
Number of paper pages: 10
Abstract: This paper deals with the two main shortcomings of explicit finite difference schemes: the use of a discretization grid with the same resolution over the entire problem space, and low level of precision and stability. We present a combination of two improvements. Their application is illustrated with the numerical simulation of the propagation of a light beam in a photonic lattice. The discretization problem is avoided by using a multi-resolution grid. An algorithm for the grid creation is developed and that algorithm is optimized for software implementation and parallelization. The efficiency of the algorithm is increased by further improving the precision of the explicit method by use of a multidimensional generalization of the Runge-Kutta scheme. Due to the multidimensionality and nonlinearity of the considered problem, our improved explicit finite difference gave better results than Crank-Nicholson scheme.
Keywords: Adaptive grid algorithm, Multi-resolution, Finite differences, Simulation, Numerical optimization
EXTENSION of the file: .doc
Special (Invited) Session: An Algorithm for Multi-Resolution Grid Creation Applied to Explicit Finite Difference Scheme
Organizer of the Session: 591-894
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