Results 171 to 180 of about 541 (198)
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Adomian decomposition method with Chebyshev polynomials
Applied Mathematics and Computation, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M M Hosseini
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An efficient algorithm for the multivariable Adomian polynomials
Applied Mathematics and Computation, 2010The Adomian decomposition methods are efficient techniques for solving nonlinear functional equations. This problem appears in coupled nonlinear differential equations \(Lu+Ru+Nu=g(t)\), where \(L+R\) is the linear part and \(N\) is a nonlinear operator. The method consists in the decomposition of \(Nu=f(u)\) in the series of Adomian polynomials \(A_n=\
Jun-Sheng Duan
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Adomian's polynomials for nonlinear operators
Mathematical and Computer Modelling, 1996 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
K Abbaoui, Y Cherruault
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A probabilistic approach to Adomian polynomials
Stochastic Analysis and Applications, 2020The Adomian decomposition method (ADM) is a powerful tool to solve several nonlinear functional equations and a large class of initial/boundary value problems.
P Vellaisamy, Frederi Viens
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Convenient analytic recurrence algorithms for the Adomian polynomials
Applied Mathematics and Computation, 2011Four analytic recurrence algorithms for multivariable Adomian polynomials are presented. Four simplified results for one-variable Adomian polynomials are deduced as special cases. These algorithms are comprised of simple, orderly and recurrence formulas, which do not require time-intensive operations such as expanding, regrouping, parametrization, and ...
Jun-Sheng Duan
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A new algorithm for calculating adomian polynomials for nonlinear operators
Applied Mathematics and Computation, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abdul-Majid Wazwaz
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A new algorithm for calculating Adomian polynomials
Applied Mathematics and Computation, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yonggui Zhu +2 more
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Probabilistic interpretations of nonclassic Adomian polynomials
Stochastic Analysis and Applications, 2021The Adomian decomposition method (ADM) is a powerful tool for solving numerous nonlinear functional equations and a large class of initial/boundary value problems.
Palaniappan Vellaisamy, Vijay Kumar
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A new definition of the Adomian polynomials
Kybernetes, 2008PurposeTo provide a new proof of convergence of the Adomian decomposition series for solving nonlinear ordinary and partial differential equations based upon a thorough examination of the historical milieu preceding the Adomian decomposition method.Design/methodology/approachDevelops a theoretical background of the Adomian decomposition method under ...
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A mathematical model of Adomian polynomials
Applied Mathematics and Computation, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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