Solving Differential Equations with the Fourier Transform
New Integral Transform: Shehu Transform a Generalization of Sumudu and Laplace Transform for Solving Differential Equations
... Laplace transform is highly efficient for solving some class of ordinary and partial differential equations ...well-known Fourier transform will become a Laplace transform ...
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SOLUTION OF COMPLEX DIFFERENTIAL EQUATIONS BY USING FOURIER TRANSFORM
... complex differential equations are solved by us- ing the Fourier ...unknown equations. We obtain the Fourier transforms of real and imaginary parts of the solutions using the ...
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Polynomial Integral Transform for Solving Differential Equations
... Integral Transform for solving differential ...Laplace Transform and others, the Polynomial Integral Transform solves differential equa- tions with a little computational effort ...
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A study on fractional differential equations using the fractional Fourier transform
... Abstract This study aims to use the fractional Fourier transform for analyzing various types of Hyers–Ulam stability pertaining to the linear fractional order differential equation with A[r] ...
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A Mellin transform method for solving fuzzy differential equations
... Mellin transform and investigate some of its operator ...Laplace transform. By using a fuzzy Mellin transform, we solve some fuzzy differential equations under strongly generalized ...
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Generalized Fourier Transform Method for Solving Nonlinear Anomalous Diffusion Equations
... generalized Fourier transform ...generalized Fourier transform approach is the exten- sion of the Fourier transform method used for the normal diffusion ...
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The natural transform decomposition method for solving fractional differential equations
... natural transform, we described the properties of this integral transform and gave examples of how it can be used to solve an ordinary differential equa- ...natural transform to solve linear ...
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Mahgoub Transform Method for Solving Linear Fractional Differential Equations
... Mahgoub Transform Method has been introduced for solving linear Fractional Differential Equations (FDEs) with constant ...Mahgoub Transform necessary in solving FDE are ...
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On the Laplace transform decomposition algorithm for solving nonlinear differential equations
... (ADM) and the Laplae transform deomposition algorithm (LTDA) for solving nonlinear.. dierential equations.[r] ...
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Techniques for Solving a Certain Class of Partial Differential Equation by Fractional Fourier Transform
... of Fourier transforms of fractional order, along the ordinary Fourier transform of first ...the transform can be applied to build a table of fractional order Fourier ...partial ...
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Homotopy Perturbation and Elzaki Transform for Solving Nonlinear Partial Differential Equations
... Jeddah-Saudi Arabia * E-mail of the corresponding author: [email protected] Abstract In this work, we present a reliable combination of homotopy perturbation method and Elzaki transform to investigate some ...
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Solving high order nonlinear Volterra Fredholm integro differential equations by differential transform method
... the differential transfor- mation method to high-order nonlinear Volterra- Fredholm integro-differential equations with se- parable ...the differential trans- formation method is simple and ...
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On The Simulation of Partial Differential Equations Using the Hybrid of Fourier Transform and Homotopy Perturbation Method
... governing differential equations do not have analytical solutions in genuine events in nature and ...afore-mentioned equations, the analytical solutions are not ...Laplace transform and ...
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Laplace transform for solving some families of fractional differential equations and its applications
... differential equations of the second and higher ...differential equations would lead naturally to several interesting consequences, which include (for example) a generalization of the classical Frobenius ...
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Solving second order fuzzy differential equations by the fuzzy Laplace transform method
... for solving fuzzy linear differential equations, which its construction based on the equivalent integral forms of original prob- lems under the assumption of strongly generalized ...to solving only ...
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A new approach for solving systems of fractional differential equations via natural transform
... iteration transform method(NVITM) is utilized to solve linear and nonlinear systems of fractional differential ...natural transform method and variational iteration ...
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Research Article Solving Fractional Partial Differential Equations with Corrected Fourier Series Method
... corrected Fourier series (CFS) is proposed for solving partial differential equations (PDEs) with fractional time derivative on a finite ...been solving partial differential ...
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Aboodh Transform Homotopy Perturbation Method For Solving System Of Nonlinear Partial Differential Equations
... word:Aboodh transform Homotopy perturbation method Nonlinear systems of partial differential equations ...for solving non- linear system of PDEs has long been an active ...nonlinearPartial ...
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Differential Transform Method for Some Delay Differential Equations
... networks, and biological population management, and hence they have attracted considerable attention. There are many papers devoted to the problem of approximate solution of DDEs [9]-[15]. Recently, F. Karako and H. ...
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Solving linear Volterra–Fredholm integro- differential equations of fractional order by using Generalized Differential Transform Method
... integro-differential equations and treated this type numerically and this study present for the first time the Generalized differential transformation method as a numerical tool to solve this type of ...
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