Linear Partial Differential Equations of First Order as Bi-Dimensional Inverse Moments Problem
We consider linear partial differential equations of first order a(x,t)wx(x,t)+b(x,t)w1(x,t)=h(x,t)w(x,t)+r(x,t) on a region E=(a1, b1)x(a2,b2). We will see that we can write the equation in partial derivatives as an Fredholm integral equation of the first kind and will solve this latter with the te...
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2015 |
| País: | Argentina |
| Recursos: | Universidad Nacional de La Plata |
| Repositorio: | SEDICI (UNLP) |
| Idioma: | inglés |
| OAI Identifier: | oai:sedici.unlp.edu.ar:10915/81098 |
| Acesso em linha: | http://sedici.unlp.edu.ar/handle/10915/81098 |
| Access Level: | acceso abierto |
| Palavra-chave: | Matemática Linear PDEs Freholm Integral Equations Generalized Moment Problem |
| Resumo: | We consider linear partial differential equations of first order a(x,t)wx(x,t)+b(x,t)w1(x,t)=h(x,t)w(x,t)+r(x,t) on a region E=(a1, b1)x(a2,b2). We will see that we can write the equation in partial derivatives as an Fredholm integral equation of the first kind and will solve this latter with the techniques of inverse problem moments. We will find an approximated solution and bounds for the error of the estimated solution using the techniques on problem of moments. |
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