Results 71 to 80 of about 111,766 (161)

A convenient computational form for the Adomian polynomials [PDF]

, 1984
Recent important generalizations by G. Adomian (“Stochastic Systems”, Academic Press 1983) have extended the scope of his decomposition method for nonlinear stochastic operator equations (see also iterative method, inverse operator method, symmetrized ...
Rach, Randolph, Randolph Rach
core   +1 more source

Semi‐Analytical Solution of Energy and Momentum Equations With Robin′s Boundary Conditions in a Microchannel Flow

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
In this study, the nonlinear momentum and energy equations governing magnetohydrodynamic microchannel flow are solved under a Robin‐type slip boundary condition. To impose the mixed boundary conditions directly in the semi‐analytical construction, the Adomian decomposition method (ADM) is combined with the Fourier transform.
Ali Fooladvand, S. S. Nourazar, A. Nazari-Golshan, Masoud Rabeti, Burhan Tiryakio?lu   +4 more
wiley   +1 more source

Asymptotics of orthogonal polynomials generated by a Geronimus perturbation of the Laguerre measure [PDF]

, 2016
This paper deals with monic orthogonal polynomials generated by a Geronimus canonical spectral transformation of the Laguerre classical measure for x in [0,?), ?
Deaño Cabrera, Alfredo, Huertas, Edmundo J., Román, Pablo Manuel, Huertas, Edmundo, Deaño, Alfredo, Román, Pablo, Huertas Cejudo, Edmundo José   +6 more
core   +1 more source

Double Laplace–Sawi decomposition technique for solving nonlinear partial differential equations

Journal of Nigerian Society of Physical Sciences
This study develops a double Laplace--Sawi decomposition technique for nonlinear partial differential equations by coupling the double Laplace--Sawi transform with Adomian polynomials.
Monther Al-Momani, Baha’ Abughazaleh
doaj   +1 more source

Modified decomposition solution of nonlinear partial differential equations [PDF]

, 1992
Solutions of nonlinear partial differential equations are found using an extended Maclaurin series form of the decomposition method and the Adomian ...
Adomian, G., Rach, R.
core   +1 more source

Combining the Least-Squares Method with Touchard Polynomials for Solving Mixed Integro-Differential Equation

مجلة بغداد للعلوم
Using the well-known least-squares weighted residual method (LSM) in coupling with various degrees of Touchard polynomials (TPs), found the numerical solutions of Volterra–Fredholm integro-differential equations (VFIDEs) and mixed Volterra–Fredholm ...
Hameeda O. Al-Humedi, Zahraa Adnan Jameel   +1 more
doaj   +1 more source

Painleve Equations and Orthogonal Polynomials [PDF]

, 2016
In this thesis we classify all of the special function solutions to Painleve equations and all their associated equations produced using their Hamiltonian structures.
Smith, James
core  

A modified decomposition [PDF]

, 1992
The Maclaurin series is quite limited in comparison to the (Adomian) series obtained in the decomposition method. By adding procedures from the decomposition method and the expansion of nonlinearities using the Adomian polynomials, as well as a recent ...
Adomian, G., Rach, R., Meyers, R.E.
core   +1 more source

Application of the SEE transform with the Adomian decomposition method to a nonlinear tumor growth model

Journal of Nigerian Society of Physical Sciences
This study examines the combination of the Sadiq-Emad-Eman (SEE) integral transform and the Adomian decomposition method (ADM) for solving a nonlinear tumor growth model.
Ahmed Fadhil Noaman, Zaid Adil Abdalkareem, Bareq Baqi Salman   +2 more
doaj   +1 more source

Fractional modelling arising in unidirectional propagation of long waves in dispersive media

Advances in Nonlinear Analysis, 2016
The purpose of this paper is to propose a modified and simple algorithm for fractional modelling arising in unidirectional propagation of long wave in dispersive media by using the fractional homotopy analysis transform method (FHATM).
Kumar Sunil, Kumar Devendra, Singh Jagdev   +2 more
doaj   +1 more source