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Discretizations of nonlinear differential equations using explicit finite order methods |
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| Authors: | Benito Chen Francisco Solis |
| Affiliation: | a Department of Mathematics, University of Wyoming, Laramie, WY 82071, USA b Department of Mathematics, CIMAT, Apartado postal 402, Guanajuato Gto., 36000, Mexico |
| Abstract: | In this work we study the appearance of spurious solutions when first-order differential equations with unimodal right-hand sides are discretized using Runge-Kutta schemes. These spurious solutions are explained in terms of the iteration functions. Schemes that produce good approximating solutions for much longer times are given. |
| Keywords: | Runge-Kutta schemes Spurious solutions |
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