Double Walsh series solution of first-order partial differential equations |
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| Authors: | YEN-PING SHIH JOUNG-YI HAN |
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| Affiliation: | Department of Chemical Engineering , National Cheng Kung University , Tainan, Taiwan, China |
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| Abstract: | A double Walsh series is introduced to represent approximately functions of two independent variables, and is then applied to analyse single as well as simultaneous first-order partial differential equations. The solutions for the coefficient matrices can be obtained directly from Kronecker product formulae, which are suitable for computer computation. An example for a single first-order partial differential equation is solved by a double Walsh series approximation with satisfactory results. |
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