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- W1759304639 abstract "In this paper, we present the solutions of 1-D and 2-D non-linear partial differential equations with initial conditions. We approach the solutions in time domain using two methods. We first solve the equations using Fourier spectral approximation in the spatial domain and secondly we compare the results with the approximation in the spatial domain using orthogonal functions such as Legendre or Chebyshev polynomials as their basis functions. The advantages and the applicability of the two different methods for different types of problems are brought out by considering 1-D and 2-D nonlinear partial differential equations namely the Korteweg-de-Vries and nonlinear Schrodinger equation with different potential function. (C) 2015 Elsevier Ltd. All rights reserved." @default.
- W1759304639 created "2016-06-24" @default.
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- W1759304639 date "2015-12-01" @default.
- W1759304639 modified "2023-09-27" @default.
- W1759304639 title "Spectral solutions to the Korteweg-de-Vries and nonlinear Schrodinger equations" @default.
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- W1759304639 doi "https://doi.org/10.1016/j.chaos.2015.09.008" @default.
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