Display Abstract
Title A collocation spectral method to solve the heterogeneous logistic equation in circular domains
Name Marcela M Molina Meyer
Country Spain
Email mmolinam@math.uc3m.es
Co-Author(s) F. Prieto-Medina
Submit Time 2014-02-25 15:39:23
Session
Special Session 18: Nonlinear elliptic and parabolic problems
Contents
In this talk, the logistic equation without radial symmetries in circular is solved numerically. Our methods enjoy a great versatility, up to allow us to incorporate spatial heterogeneities and computing classical positive solutions, large solutions and metasolutions. We develop some of the ideas of Trefethen to discretize the Laplace operator in polar coordinates in the unit disk B1(0) and the circular annulus A(R0; R1). This is joint work with F. Prieto-Medina.
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