A.S FOKAS SEPARATION OF VARIABLES METHOD: OVERVIEW

Authors

  • Syed Shahnawaz Ali Professor, Department of Mathematics, Sri Satya Sai University of Technology & Medical Sciences, Sehore, MP, India Author
  • Farheen Sultana Scholar, Department of Mathematics, Sri Satya Sai University of Technology & Medical Sciences, Sehore, MP, India Author

Keywords:

Fokas, Separation Of Variables PDEs

Abstract

In 1750, D'Alembert demonstrated how to solve linear partial differential equations through separation of variables, a method of decomposing PDEs into a set of ODEs. This method has served as the basis for the development of many branches of modern analysis, from function spaces to spectral analysis of operators and the theory of special functions. In the present paper, the detail of separation of variables is discussed.

References

A. S. Fokas, A unified transform method for solving linear and certain nonlinear PDEs, Proc. Roy. Soc. London Ser. A, 453 (1997), pp. 1411–1443.

A. S. Fokas, Integrable nonlinear evolution equations on the half-line, Comm. Math. Phys., 230 (2002), pp. 1–39.

A. S. Fokas, A new transform method for evolution partial differential equations, IMA J. Appl.Math., 67 (2002), pp. 559–590.

A. S. Fokas, A Unified Approach to Boundary Value Problems, CBMS-NSF Regional Conf. er. in Appl. Math. 78, SIAM, Philadelphia, PA, 2008

B. Deconinck, T. Trogdon, and V. Vasan, The Method of Fokas for Solving Linear Partial Differential Equations, Society for Industrial and Applied Mathematics 56 (2014), no. 2095, 159–186

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Published

2023-10-27

How to Cite

Syed Shahnawaz Ali, & Farheen Sultana. (2023). A.S FOKAS SEPARATION OF VARIABLES METHOD: OVERVIEW. INTERNATIONAL JOURNAL OF ADVANCED RESEARCH IN ENGINEERING AND TECHNOLOGY (IJARET), 14(6), 78-81. https://lib-index.com/index.php/IJARET/article/view/IJARET_14_06_007