Abstract
The purpose of the current study is to assess the effectiveness and exactness of the new Modification of the Adomian Decomposition (MAD) method in providing fast converging numerical solutions for the Chen-Lee-Liu (CLL) equation. In addition, we are able to simulate the scheme and provide a comparative analysis with the help of some exact soliton solutions in optical fibers. Finally, the MAD method uncovered that the strategy is proven to be reliable due to the elevated level of accuracy and less computational advances, as demonstrated by a series of tables and figures.
Highlights
In 2001, Wazwaz and El-Sayed proposed another powerful Modification of the Adomian Decomposition (MAD) method [1]
The MAD method uncovered that the strategy is proven to be reliable due to the elevated level of accuracy and less computational advances, as demonstrated by a series of tables and figures
Looking at the minimal error discrepancies revealed, it is noted that the MAD approach performs effectively in respect of the benchmark solutions under consideration; this is in conformity with most related numerical literature that the MAD method performs greatly
Summary
In 2001, Wazwaz and El-Sayed proposed another powerful Modification of the Adomian Decomposition (MAD) method [1] In this modification, the function f ( x) that normally emanates from the given initial condition and source function (when prescribed) is decomposed into infinite components via the application of the Taylor’s series. The function f ( x) that normally emanates from the given initial condition and source function (when prescribed) is decomposed into infinite components via the application of the Taylor’s series This is contrary to the reliable modified technique of Adomian Decomposition Method (ADM) which decomposes the function f ( x) into only two components f1 ( x) and f2 ( x) [2]. Bakodah the class of Derivative Nonlinear Schrodinger Equations (DNSE) called the
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