| MONOTONE APPROXIMATION TO A SYSTEM WITHOUT MONOTONE NONLINEARITY |
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| 作者姓名： | Yuan-ming Wang |
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| 作者单位： | Yuan-ming Wang (Department of Mathematics，East China Normal University，Shanghai 200062，China) Ben-yu Guo (School of Mathematical Sciences，Shanghai Normal University，Shanghai 200234，China) |
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| 摘 要： | 1. IntroductionDue to the development of various studies in electromagnetism, biology and someother fields, nonlinear systems hajve been paid extellsive attention both analytically andnumerically, e.g., see 1--12]. As we kll')w, a reasonable numerical method should notonly have the approximation error of higher order, but also preserve the main feature ofthe original problem. In this case? the numerical results might fit the physical processbetter. Since the usual approximations simulate the …
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MONOTONE APPROXIMATION TO A SYSTEM WITHOUT MONOTONE NONLINEARITY |
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| Yuan-ming Wang.MONOTONE APPROXIMATION TO A SYSTEM WITHOUT MONOTONE NONLINEARITY[J].Journal of Computational Mathematics,2000(2). |
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| Authors: | Yuan-ming Wang |
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| Abstract: | A monotone approximation is proposed for a system without monotone nonlinearity. A new concept of ordered pair of supersolution and subsolution is introduced, and then the existence of numerical solutions is studied. A new monotone iteration is provided for solving the resulting problem. An approximation with high accuracy is investigated. The corresponding iteration possesses geometric convergence rate. The numerical results support the theoretical analysis. |
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| Keywords: | Monotone approximation Systems without monotone nonlineajrity |
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