A COMPARISON OF ADOMIAN’S METHOD AND SBA METHOD ON THE NONLINEAR SCHRÖDINGER’S EQUATION

DOI10.17654/DS029040149zbMath1499.65606OpenAlexW2795384396MaRDI QIDQ5076275

Ousséni So, Gérard Zongo, Youssouf Paré, Geneviève Barro, Blaise Some

Publication date: 16 May 2022

Published in: Far East Journal of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.17654/ds029040149

zbMATH Keywords

Adomian's decomposition methodnonlinear Schrödinger equationsAdomian's polynomialsSBA method

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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ANALYTICAL SOLUTION OF SOME NONLINEAR FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS OF THE FREDHOLM SECOND KIND BY A NEW APPROXIMATION TECHNIQUE OF THE NUMERICAL SBA METHOD, A NEW APPROACH OF SBA METHOD FOR SOLVING NONLINEAR FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS

Cites Work

• A review of the decomposition method in applied mathematics
• A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I
• Solving frontier problems of physics: the decomposition method
• A new algorithm for calculating Adomian polynomials for nonlinear operators
• The decomposition method applied to the Cauchy problem
• Functional Analysis and Evolution Equations
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