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Nonlinear Differential Equations in Physics

Novel Methods for Finding Solutions

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  • 420 pages
  • 15 hours of reading

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The book explores innovative analytical and numerical techniques for addressing partial and fractional differential equations. It highlights specific numerical methods, including Euler-Maruyama and strong-order Taylor methods, for solving stochastic point kinetic equations relevant to nuclear reactor dynamics. Additionally, it presents new exact solutions for a range of fractional differential equations, such as the time-fractional Burgers-Hopf equation and various (3+1)-dimensional equations, showcasing the depth and applicability of these methods in advanced mathematical contexts.

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Nonlinear Differential Equations in Physics, Santanu Saha Ray

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Released
2021
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Subtitle
Novel Methods for Finding Solutions
Language
English
Released
2021
Format
Paperback
Pages
420
ISBN13
9789811516580
Series
Description
The book explores innovative analytical and numerical techniques for addressing partial and fractional differential equations. It highlights specific numerical methods, including Euler-Maruyama and strong-order Taylor methods, for solving stochastic point kinetic equations relevant to nuclear reactor dynamics. Additionally, it presents new exact solutions for a range of fractional differential equations, such as the time-fractional Burgers-Hopf equation and various (3+1)-dimensional equations, showcasing the depth and applicability of these methods in advanced mathematical contexts.