Finite difference spectral collocation schemes for the solutions of boundary value problems. [PDF]
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Dynamics and synchronization control of fractional conformable neuron system. [PDF]
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An exploration of the (3+1)-dimensional negative order KdV-CBS model: Wave solutions, Bäcklund transformation, and complexiton dynamics. [PDF]
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Beyond Adomian polynomials: He polynomials
Chaos, Solitons & Fractals, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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.
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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 ...
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Fractional differential transform method combined with the Adomian polynomials
Applied Mathematics and Computation, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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 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.
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