A.S FOKAS SEPARATION OF VARIABLES METHOD: OVERVIEW
Keywords:
Fokas, Separation Of Variables PDEsAbstract
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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Copyright (c) 2023 Syed Shahnawaz Ali, Farheen Sultana (Author)

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