An alternate algorithm for computing Adomian polynomials in special cases

DOI10.1016/S0096-3003(02)00174-1zbMath1027.65076OpenAlexW2027704410MaRDI QIDQ1406158

D. Massart

Publication date: 9 September 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(02)00174-1

zbMATH Keywords

algorithmdecomposition methodnumerical examplesdiffusion equationnonlinear operator equationsAdomian polynomialssystem of nonlinear integral equationsnonlinear first order hyperbolic equation

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical methods for integral equations (65R20) Heat equation (35K05) First-order nonlinear hyperbolic equations (35L60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical solutions to equations with nonlinear operators (65J15) Systems of nonlinear integral equations (45G15)

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Cites Work

• Numerical solution of differential equations in the deterministic limit of stochastic theory
• Solving frontier problems of physics: the decomposition method
• The theoretical foundation of the Adomian method
• A new algorithm for calculating Adomian polynomials for nonlinear operators
• Practical formulae for the calculus of multivariable Adomian polynomials
• Adomian's polynomials for nonlinear operators
• A global method for solution of complex systems
• Unnamed Item

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