Proceedings ArticleDOI
Discrete inverse Sumudu transform application to Whittaker and Zettl equations
Rathinavel Silambarasan,Kottakkaran Sooppy Nisar,Fethi Bin Muhammad Belgacem +2 more
- Vol. 2046, Iss: 1, pp 020091
TLDR
In this article, the Discrete Inverse Sumudu Transform (DIST) multiple shifting properties are used to design a methodology for solving ordinary differential equations, and a DIST Table for elementary functions is provided.Abstract:
In this research article, the Discrete Inverse Sumudu Transform (DIST) multiple shifting properties are used to design a methodology for solving ordinary differential equations. We say ”Discrete” because it acts on the Taylor or Mclaurin series of the function when any. The algorithm applied to solve the Whittaker and Zettl equations and get their exact solutions. A DIST Table for elementary functions is provided.read more
Citations
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Journal ArticleDOI
Reviews - Eigenfunction Expansions Associated with Second-Order Differential Equations. By E. C. Titchmarsh Pp. 175. 20s. 1946. (Oxford University)
Journal ArticleDOI
Computing new solutions of algebro-geometric equation using the discrete inverse Sumudu transform
TL;DR: In this paper, a discrete inverse Sumudu transform was used to solve an algebro-geometric equation and two new sets of exact analytical and complex solutions were obtained through a discrete inverted sumudu transformation, and Maple complex graphs were drawn to show the new solution simulations in the complex plane which were compared to the existing solutions.
On the Relationship Between the Fractional Sumudu Transform and Fractional Fourier Transform
TL;DR: In this article, the mathematical expression of kernel of fractional Sumudu transform and its relationship with fractional Fourier transform and obtained the mathematical expressions of kernel for fractional SUMUDU transform.
Journal ArticleDOI
Hankel Determinants of Non-Zero Modulus Dixon Elliptic Functions via Quasi C Fractions
TL;DR: In this paper, the Sumudu transform of the Dixon elliptic function with non-zero modulus α ≠ 0 for arbitrary powers N is given by the product of quasi C fractions.
References
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Journal ArticleDOI
Handbook of Mathematical Functions
Journal ArticleDOI
Reviews - Eigenfunction Expansions Associated with Second-Order Differential Equations. By E. C. Titchmarsh Pp. 175. 20s. 1946. (Oxford University)
Book
Sturm-Liouville theory : past and present
TL;DR: In this article, the Titchmarsh-Weyl Eigenfunction Expansion Theorem for Sturm-Liouville Differential Equations (TLE) is used to explain Sturm's Theorem on Zero Sets in Nonlinear Parabolic Equations.