H. Gunawan, E. Rusyaman, L. Ambarwati
This paper presents a method of finding a continuous, real-valued,function of two variables z = u(x, y) defined on the square S:= [0,1] 2, which minimizes an energy integral of fractional order, subject to the condition u(0, y) = u(1, y) = u(x, 0) = u(x,1) = 0 and u(x i, y j) =c ij, where 0 <x 1 < <x M <1,0 <y 1 <... y N <1, and C 1 ∈ ℝ are given. The function is expressed as a double Fourier sine series, and an iterative procedure to obtain the function will be presented. © 2011 Published by LPPM ITB.
Analysis and Geometry Group, Faculty of Mathematics and Natural Sciences, Bandung Institute of Technology, Bandung, Indonesia; Department of Mathematics, Padjajaran University, Bandung, Indonesia; Department of Mathematics, State University of Jakarta, Jakarta, Indonesia
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