Analytical Solutions to Investigate Fractional Newell-Whitehead Nonlinear Equation Using Sumudu Transform Decomposition Method

Some nonlinear differential equations with fractional order are evaluated using a novel approach, the Sumudu and Adomian Decomposition Technique (STADM). To get the results of the given model, the Sumudu transformation and iterative technique are employed. The suggested method has an advantage over...

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Published inIbn Al-Haitham Journal for Pure and Applied Sciences Vol. 36; no. 3; pp. 316 - 322
Main Authors Altaie, Huda Omran, Hussein, Qays Jasem
Format Journal Article
LanguageEnglish
Published University of Baghdad 20.07.2023
Subjects
Sumudu Transformation, Caputo derivative, Fractional Calculus, Approximate solutions, Decomposition method
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Abstract Some nonlinear differential equations with fractional order are evaluated using a novel approach, the Sumudu and Adomian Decomposition Technique (STADM). To get the results of the given model, the Sumudu transformation and iterative technique are employed. The suggested method has an advantage over alternative strategies in that it does not require additional resources or calculations. This approach works well, is easy to use, and yields good results. Besides, the solution graphs are plotted using MATLAB software. Also, the true solution of the fractional Newell-Whitehead equation is shown together with the approximate solutions of STADM. The results showed our approach is a great, reliable, and easy method to deal with specific problems in a variety of applied sciences and engineering fields
AbstractList Some nonlinear differential equations with fractional order are evaluated using a novel approach, the Sumudu and Adomian Decomposition Technique (STADM). To get the results of the given model, the Sumudu transformation and iterative technique are employed. The suggested method has an advantage over alternative strategies in that it does not require additional resources or calculations. This approach works well, is easy to use, and yields good results. Besides, the solution graphs are plotted using MATLAB software. Also, the true solution of the fractional Newell-Whitehead equation is shown together with the approximate solutions of STADM. The results showed our approach is a great, reliable, and easy method to deal with specific problems in a variety of applied sciences and engineering fields
Author Hussein, Qays Jasem
Altaie, Huda Omran
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Cites_doi 10.18576/isl/090305
10.1016/S0370-1573(00)00070-3
10.1155/2013/160681
10.1080/09720502.2022.2057052
10.1016/j.amc.2004.07.020
10.1155/2016/2913539
10.11121/ijocta.01.2016.00317
10.3390/math7010040
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SubjectTerms Sumudu Transformation, Caputo derivative, Fractional Calculus, Approximate solutions, Decomposition method
Title Analytical Solutions to Investigate Fractional Newell-Whitehead Nonlinear Equation Using Sumudu Transform Decomposition Method
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