Javascript must be enabled to continue!
AN OVERVIEW OF SUMUDU TRANSFORM WITH ORDINARY DIFFERENTIAL EQUATIONS
View through CrossRef
This paper introduces a new integral transform called the Sumudu transformation, which offers unique advantages. Unlike other
transforms, Sumudu allows for the preservation of units, making it highly relevant in engineering applications. This paper defines
the Sumudu transform, explores its properties, and demonstrates its applicability in solving linear ordinary differential equations.
The Sumudu transform's ability to handle non-constant coefficients in equations is highlighted, making it a valuable tool for
engineers and scientists dealing with a wide range of differential equations. Ultimately, Sumudu transformation proves to be a
versatile and powerful technique for solving differential equations in both the time and frequency domains.
Title: AN OVERVIEW OF SUMUDU TRANSFORM WITH ORDINARY DIFFERENTIAL EQUATIONS
Description:
This paper introduces a new integral transform called the Sumudu transformation, which offers unique advantages.
Unlike other
transforms, Sumudu allows for the preservation of units, making it highly relevant in engineering applications.
This paper defines
the Sumudu transform, explores its properties, and demonstrates its applicability in solving linear ordinary differential equations.
The Sumudu transform's ability to handle non-constant coefficients in equations is highlighted, making it a valuable tool for
engineers and scientists dealing with a wide range of differential equations.
Ultimately, Sumudu transformation proves to be a
versatile and powerful technique for solving differential equations in both the time and frequency domains.
Related Results
Solving 3D Helmholtz Equation Using Triple Laplace-Aboodh-Sumudu Transform
Solving 3D Helmholtz Equation Using Triple Laplace-Aboodh-Sumudu Transform
This paper introduces a novel integral transform, termed the triple Laplace-Aboodh-Sumudu transform (TLAST), by combining the Laplace transform, Aboodh transform, and Sumudu transf...
Modified Sumudu Transform and Its Properties
Modified Sumudu Transform and Its Properties
Saif et al. (J. Math. Comput. Sci. 21 (2020) 127-135) considered modified Laplace transform and developed some of their certain properties and relations. Motivated by this work, in...
Modified Sumudu Transform and Its Properties
Modified Sumudu Transform and Its Properties
Saif et al. (J. Math. Comput. Sci. 21 (2020) 127-135) considered modified Laplace transform and developed some of their certain properties and relations. Motivated by this work, in...
Degenerate Sumudu Transform and Its Properties
Degenerate Sumudu Transform and Its Properties
Kim-Kim (Russ. J. Math. Phys. 2017, 24, 241-248) defined the degenerate Laplace transform and investigated some of their certain properties. Motivated by this study, in this paper,...
Research on a Class of First-Order Nonlinear Nonhomogeneous Variable Coefficient Ordinary Differential Equations Based on Elastic Transformation
Research on a Class of First-Order Nonlinear Nonhomogeneous Variable Coefficient Ordinary Differential Equations Based on Elastic Transformation
This paper mainly studies the problem of solving a class of first-order
nonlinear non-homogeneous ordinary differential equations with variable
coefficients, which can be transform...
Stochastic Sumudu transform and its applications for solving stochastic differential equations
Stochastic Sumudu transform and its applications for solving stochastic differential equations
Abstract
This manuscript introduces the development of the stochastic Sumudu transform theory of Itô type for stochastic calculus. We employ the stochastic integration by p...
Stochastic Sumudu transform and its applications for solving stochastic differential equations
Stochastic Sumudu transform and its applications for solving stochastic differential equations
This manuscript introduces the development of the stochastic Sumudu
transform theory of Itô type for stochastic calculus. We employ the
stochastic integration by parts method to ac...
Soham Transform in Fractional Differential Equations
Soham Transform in Fractional Differential Equations
Objectives: Soham transforms is one of the appropriate tools for solving fractional differential equations that are flexible enough to adapt to different purposes. Methods: Integra...

