Numerical study of generalized 2-D nonlinear Schrödinger equation using Kansa method

Maheshwar Pathak, Pratibha Joshi and Kottakkaran Sooppy Nisar

Mathematics and Computers in Simulation (MATCOM), 2022, vol. 200, issue C, 186-198

Abstract: The present study is influenced by the wide applications of the Schrödinger equations. Its occurrence can be easily seen in electromagnetic wave propagation, quantum mechanics, plasma physics, nonlinear optics, underwater acoustics, etc. Solving equations of this type is always difficult. In the current paper, we have discussed a very easy numerical technique which is also known as the Kansa method along with polyharmonic radial basis function for the numerical study of generalized 2-D nonlinear Schrödinger equations. The stability analysis of the present method is discussed. The efficiency and accuracy of the present method are demonstrated by considering three numerical cases along with different types of boundary conditions.

Keywords: Schrödinger equation; Partial differential equation; Kansa method; Radial basis function; Nonlinear equation (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:200:y:2022:i:c:p:186-198

DOI: 10.1016/j.matcom.2022.04.030

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