Results 91 to 100 of about 5,810 (155)
Mathematics, 2019 This work deals with a new modified version of the Adomian-Rach decomposition method (MDM). The MDM is based on combining a series solution and decomposition method for solving nonlinear differential equations with Adomian polynomials for nonlinearities.
Emad A. Az-Zo’bi +2 more
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Abstract and Applied Analysis, 2014 We develop a method to obtain approximate solutions for nonlinear systems of Volterra integrodifferential equations with the help of Sumudu decomposition method (SDM).
Hassan Eltayeb +2 more
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, 2017 This paper is an attempt to solve an important class of hypersingular integral equations of the second kind. To this end, we apply a new weighted and modified perturbation method which includes some special cases of the Adomian decomposition method.
Akrami, Mostafa +2 more
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Journal of Applied and Computational Mechanics, 2015 A new modified Adomian Decomposition Method (ADM) is utilized to obtain an analytical solution for buckling of the nanocantilever actuators immersed in liquid electrolytes.
Mohammad Ghalambaz +2 more
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Absolute Value Boundedness, Operator Decomposition, and Stochastic Media and Equations [PDF]
The research accomplished during this period is reported. Published abstracts and technical reports are listed. Articles presented include: boundedness of absolute values of generalized Fourier coefficients, propagation in stochastic media, and ...
Adomian, G., Miao, C. C.
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, 2017 In this paper, we use Kansa method for solving the system of differential equations in the area of biology. One of the challenges in Kansa method is picking out an optimum value for Shape parameter in Radial Basis Function to achieve the best result of ...
Fallah, Mohammad Kazem +2 more
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Adomian Decomposition Method for Solving Goursat's Problems
Applied Mathematics, 2011 In this paper, Goursat’s problems for: linear and nonlinear hyperbolic equations of second-order, systems of nonlinear hyperbolic equations and fourth-order linear hyperbolic equations in which the attached conditions are given on the characteristics curves are transformed in such a manner that the Adomian decomposition method (ADM) can be applied ...
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Adomian's Decomposition Method to Generalized Magneto-Thermoelasticity
, 2018 Due to many applications and problems in the fields of plasma physics, geophysics, and other many topics, the interaction between the strain field and the magnetic field has to be considered. Adomian introduced the decomposition method for solving linear and nonlinear functional equations.
Youssef, Hamdy M., Al-Lehaibi, Eman A.
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Extension of optimal auxiliary function method to nonlinear Sine Gordon differential equations
Partial Differential Equations in Applied MathematicsIn this paper, the new semi-analytical method called optimal auxiliary function method has been extended for finding the approximate solution of the non-linear Sine Gordon and Burger equations.
Aaqib Iqbal +5 more
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Resolution of nonlinear and non-autonomous ODEs by the ADM using a new practical Adomian polynomials
Bulletin of Computational Applied Mathematics, 2020 In this paper, a new practical formulas of Adomian polynomials has been adapted to resolve nonlinear and non-autonomous ordinary differential equations by the Adomian decomposition method, a simple computational for this new polynomials has been ...
Idriss Noureddine Zaouagui +1 more
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