decomposition method
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Mathematics ◽  
2022 ◽  
Vol 10 (1) ◽  
pp. 138
Author(s):  
Alyaa A. Al-Qarni ◽  
Huda O. Bakodah ◽  
Aisha A. Alshaery ◽  
Anjan Biswas ◽  
Yakup Yıldırım ◽  
...  

The current manuscript displays elegant numerical results for cubic-quartic optical solitons associated with the perturbed Fokas–Lenells equations. To do so, we devise a generalized iterative method for the model using the improved Adomian decomposition method (ADM) and further seek validation from certain well-known results in the literature. As proven, the proposed scheme is efficient and possess a high level of accuracy.


Author(s):  
Prashant Mani Tripathi ◽  
Ashish Kumar ◽  
Rama Komaragiri ◽  
Manjeet Kumar

2022 ◽  
Author(s):  
Tingru Chen ◽  
Takuya Hasegawa ◽  
Sunghun Cho ◽  
Tomoyo Goto ◽  
Tohru Sekino ◽  
...  

YBaCo4O7 oxygen storage material has been synthesized by the glycine-complex decomposition method at a low temperature of 800 ℃ and investigated from the crystal structure and reaction kinetics. This sample...


2022 ◽  
Vol 7 (2) ◽  
pp. 2878-2890
Author(s):  
Amjad Ali ◽  
◽  
Iyad Suwan ◽  
Thabet Abdeljawad ◽  
Abdullah ◽  
...  

<abstract><p>In the present work, the authors developed the scheme for time Fractional Partial Diffusion Differential Equation (FPDDE). The considered class of FPDDE describes the flow of fluid from the higher density region to the region of lower density, macroscopically it is associated with the gradient of concentration. FPDDE is used in different branches of science for the modeling and better description of those processes that involve flow of substances. The authors introduced the novel concept of fractional derivatives in term of both time and space independent variables in the proposed FPDDE. We provided the approximate solution for the underlying generalized non-linear time PFDDE in the sense of Caputo differential operator via Laplace transform combined with Adomian decomposition method known as Laplace Adomian Decomposition Method (LADM). Furthermore, we established the general scheme for the considered model in the form of infinite series by aforementioned techniques. The consequent results obtained by the proposed technique ensure that LADM is an effective and accurate technique to handle nonlinear partial differential equations as compared to the other available numerical techniques. At the end of this paper, the obtained numerical solution is visualized graphically by Matlab to describe the dynamics of desired solution.</p></abstract>


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