APPLICATION OF ROHIT TRANSFORM TO PARABOLIC AND ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS

APPLICATION OF ROHIT TRANSFORM TO PARABOLIC AND ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS

Registration ID: IJNRD_300171

Published ID: IJNRD2409091

DOI: Click Here to Get

ONUOHA, N.O.

Rohit transform, parabolic differential equation, elliptic differential equation, heat equation, wave equation, integral transform and Laplace transform.

We presented a brief description of the basic properties of the integral tramsform, Rohit transform, based on the definition of the transform as defined by Rohit, and we demonstrated with various examples its applications in the solutions of parabolic and elliptic differential equations. Rohit transform is a new transform which has been proposed from Laplace transform. It has been applied to solve ordinary different equations; the equation of motion of a particle, simple harmonic motion problem, electric circuit problem and other equations. In this research, the new integral transform, Rohit transform is used to solve parabolic partial differential equations (Heat equations) and elliptic partial differential equations (wave equations). The boundary conditions are all homogenous boundary conditions.

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"APPLICATION OF ROHIT TRANSFORM TO PARABOLIC AND ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS", IJNRD - INTERNATIONAL JOURNAL OF NOVEL RESEARCH AND DEVELOPMENT (www.IJNRD.org), ISSN:2456-4184, Vol.9, Issue 9, page no.a809-a818, September-2024, Available :https://ijnrd.org/papers/IJNRD2409091.pdf

Volume 9 Issue 9, September-2024

Pages : a809-a818

Paper Reg. ID: IJNRD_300171

Published Paper Id: IJNRD2409091

Downloads: 000121205

Research Area: Science and Technology

Country: -, -, India

Published Paper PDF: https://ijnrd.org/papers/IJNRD2409091.pdf

Published Paper URL: https://ijnrd.org/viewpaperforall?paper=IJNRD2409091

Journal Name: INTERNATIONAL JOURNAL OF NOVEL RESEARCH AND DEVELOPMENT(IJNRD)

ISSN: 2456-4184 | IMPACT FACTOR: 8.76 Calculated By Google Scholar | ESTD YEAR: 2016

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