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Surfaces with prescribed nodes and minimum energy integral of fractional order
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نویسنده
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gunawan h. ,rusyaman e. ,ambarwati l.
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منبع
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journal of mathematical and fundamental sciences - 2011 - دوره : 43 A - شماره : 3 - صفحه:209 -222
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چکیده
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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.
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کلیدواژه
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2-D interpolation; Energy-minimizing surfaces
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آدرس
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analysis and geometry group,faculty of mathematics and natural sciences,bandung institute of technology, Indonesia, department of mathematics,padjajaran university, Indonesia, analysis and geometry group,faculty of mathematics and natural sciences,bandung institute of technology,bandung,indonesia,department of mathematics,state university of jakarta, Indonesia
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Authors
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