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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
- Lingua
- Pubblicato
- 2021
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- Sottotitolo
- Novel Methods for Finding Solutions
- Lingua
- Inglese
- Autori
- Santanu Saha Ray
- Editore
- Springer Nature Singapore
- Pubblicato
- 2021
- Formato
- In brossura
- Pagine
- 420
- ISBN13
- 9789811516580
- Serie
- Descrizione
- 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.