MATEMATIKA
Vol 6, No 1 (2003): Jurnal Matematika

EFISIENSI PENGGUNAAN V-CYCLE DALAM METODE FUNGSI WALSH UNTUK MENYELESAIKAN PERSAMAAN INTEGRAL FREDHOLM LINEAR

Widyaningsih, Purnami (Unknown)



Article Info

Publish Date
11 Jan 2011

Abstract

Uljanov and Blyth have developed a new numerical method for the solution of linear  Fredholm integral equations using Walsh functions. The approximate solution is constructed by rewriting the functions as truncated (to m terms) Walsh series and the kernel as truncated double Walsh series. For the equations, this method gives linear systems. The systems then solved using Gauss elimination.  In order to improve the efficiency,  the idea of multigrid, especially v-cycle, is proposed to solve  the linear systems. Here, numerical experiment with standard test problems for numerical solution of linear Fredholm integral equations show that this approach is effective in improving the efficiency of the Walsh function method.

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