Explicit Frost-Kalkwarf type equations for calculation of vapour pressure of liquids from triple to critical point by the Adomian decomposition method†
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DOI: 10.1002/cjce.22853
Abstract: The general form of explicit, analytical solution of the Frost-Kalkwarf equation was developed for the first time by means of the Adomian decomposition method as a reliable mathematical tool. The accuracy of the obtained formulas… read more here.
Keywords: triple critical; decomposition method; critical point; vapour pressure ... See more keywords
Mathematical studies of the solution of Burgers' equations by Adomian decomposition method
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DOI: 10.1002/mma.5982
Abstract: In this paper, a novel Adomian decomposition method (ADM) is developed for the solution of Burgers' equation. While high level of this method for differential equations are found in the literature, this work covers most… read more here.
Keywords: solution burgers; adomian decomposition; method; solution ... See more keywords
Approximate solutions to the conformable Rosenau‐Hyman equation using the two‐step Adomian decomposition method with Padé approximation
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DOI: 10.1002/mma.5985
Abstract: This paper adopts the Adomian decomposition method and the Padé approximation techniques to derive the approximate solutions of a conformable Rosenau‐Hyman equation by considering the new definition of the Adomian polynomials. The Padé approximate solutions… read more here.
Keywords: adomian decomposition; decomposition method; solutions conformable; pad approximation ... See more keywords
Approximate solution of singular IVPs of Lane–Emden type and error estimation via advanced Adomian decomposition method
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DOI: 10.1007/s12190-020-01444-2
Abstract: This article aims to present a simple and effective method, named as advanced Adomian decomposition method, to attain the approximate solution of singular initial value problems of Lane–Emden type. Also, convergence analysis and error analysis… read more here.
Keywords: approximate solution; error; method; advanced adomian ... See more keywords
Adomian decomposition and homotopy perturbation method for the solution of time fractional partial integro-differential equations
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DOI: 10.1007/s12190-021-01613-x
Abstract: This article deals with two different methods to solve a time fractional partial integro-differential equation. The fractional derivatives are defined here in Caputo sense. The model problem is solved using the Adomian decomposition method and… read more here.
Keywords: fractional partial; integro differential; time fractional; partial integro ... See more keywords
A new analytical solution of the hyperbolic Kepler equation using the Adomian decomposition method
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DOI: 10.1016/j.actaastro.2017.05.006
Abstract: Abstract In this paper, the Adomian decomposition method (ADM) is proposed to solve the hyperbolic Kepler equation which is often used to describe the eccentric anomaly of a comet of extrasolar origin in its hyperbolic… read more here.
Keywords: equation; adomian decomposition; hyperbolic kepler; kepler equation ... See more keywords
A modified approach of Adomian decomposition method to solve two-term diffusion wave and time fractional telegraph equations
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DOI: 10.1109/access.2022.3183620
Abstract: A new technique of the Adomian decomposition method is developed and applied in this research article to solve two-term diffusion wave and fractional telegraph equations with initial-boundary conditions. The proposed technique is used to solve… read more here.
Keywords: telegraph equations; decomposition method; adomian decomposition; method ... See more keywords
Free vibration analysis of non-uniform Bernoulli beam by using Laplace Adomian decomposition method
Sign Up to like & getrecommendations! Published in 2022 at "Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science"
DOI: 10.1177/09544062221077830
Abstract: This paper discusses an investigation into the influence of the cone ratio and axial force on the vibration problem in a non-uniform cantilever Euler–Bernoulli beam. In the analysis, the governing equation for the non-uniform cantilever… read more here.
Keywords: bernoulli; non uniform; method; bernoulli beam ... See more keywords
A note on singular two-dimensional fractional coupled Burgers’ equation and triple Laplace Adomian decomposition method
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DOI: 10.1186/s13661-020-01426-0
Abstract: The present article focuses on how to find the exact solutions of the time-fractional regular and singular coupled Burgers’ equations by applying a new method that is called triple Laplace and Adomian decomposition method. Furthermore,… read more here.
Keywords: coupled burgers; triple laplace; method; decomposition method ... See more keywords
The Adomian decomposition method and the fractional complex transform for fractional Bratu-type equation
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DOI: 10.2298/tsci160805058w
Abstract: In this paper, the Adomian decomposition method and the fractional complex transform are adopted to solve a fractional Bratu-type equations based on He’s fractional derivative. The solution process is elucidated and analytical results can be… read more here.
Keywords: fractional complex; method fractional; decomposition method; complex transform ... See more keywords
Effect of the Variable Viscosity on the Peristaltic Flow of Newtonian Fluid Coated withMagnetic Field: Application of Adomian Decomposition Method for Endoscope
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DOI: 10.3390/coatings9080524
Abstract: In the present analysis, peristaltic flow was discussed for MHD Newtonian fluid through the gap between two coaxial tubes, where the viscosity of the fluid is treated as variable. In addition, the inner tube was… read more here.
Keywords: viscosity; peristaltic flow; adomian decomposition; fluid ... See more keywords