A power series method for solving ordinary and partial differentials equations motivated by domain growth
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2019
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| _version_ | 1866917874481758208 |
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| author | Ross, Robert |
| author_facet | Ross, Robert |
| contents | In this work we present a power series method for solving ordinary and partial differential equations. To demonstrate our method we solve a system of ordinary differential equations describing the movement of a random walker on a one-dimensional lattice, two nonlinear ordinary differential equations, a wave and diffusion equation (linear partial differential equations), and a nonlinear partial differential equation (quasilinear). The inclusion of boundary conditions and the general solutions to other equations of interest are included in the Supplementary material. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1901_05290 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | A power series method for solving ordinary and partial differentials equations motivated by domain growth Ross, Robert Numerical Analysis In this work we present a power series method for solving ordinary and partial differential equations. To demonstrate our method we solve a system of ordinary differential equations describing the movement of a random walker on a one-dimensional lattice, two nonlinear ordinary differential equations, a wave and diffusion equation (linear partial differential equations), and a nonlinear partial differential equation (quasilinear). The inclusion of boundary conditions and the general solutions to other equations of interest are included in the Supplementary material. |
| title | A power series method for solving ordinary and partial differentials equations motivated by domain growth |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/1901.05290 |