New Approaches for Decomposition Method for the Solution of Differential Equations

Santanu Saha Ray ()
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Santanu Saha Ray: National Institute of Technology Rourkela, Department of Mathematics

Chapter Chapter 2 in Nonlinear Differential Equations in Physics, 2020, pp 55-85 from Springer

Abstract: Abstract In many practical applications regarding the field of science and engineering, the physical systems are modeled by nonlinear partial differential equations (NLPDEs). These equations play a significant role in modelling problems in science and engineering. Many physical phenomena of the physical problems arising in various fields of science and engineering can be elegantly investigated by the NPDEs. Furthermore, NPDEs are widely used to describe complex phenomena in various fields of sciences, such as physics, biology, and chemistry and engineering. Because, in many of the cases exact solutions are very difficult or even impossible to obtain for NPDEs, the approximate analytical solutions are particularly important for the study of dynamic systems for analyzing their physical nature.

Date: 2020
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DOI: 10.1007/978-981-15-1656-6_2

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