A New Explicit Four-Step Symmetric Method for Solving Schrödinger’s Equation

Saleem Obaidat and Said Mesloub
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Saleem Obaidat: Mathematics Department, College of Science, King Saud University, Riyadh 11451, Saudi Arabia
Said Mesloub: Mathematics Department, College of Science, King Saud University, Riyadh 11451, Saudi Arabia

Mathematics, 2019, vol. 7, issue 11, 1-12

Abstract: In this article we have developed a new explicit four-step linear method of fourth algebraic order with vanished phase-lag and its first derivative. The efficiency of the method is tested by solving effectively the one-dimensional time independent Schrödinger’s equation. The error and stability analysis are studied. Also, the new method is compared with other methods in the literature. It is found that this method is more efficient than these methods.

Keywords: phase-lag; initial value problem; symmetric multistep method; Schrödinger’s equation; truncation error (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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