Results 41 to 50 of about 1,843 (199)

Newton-Raphson based modified Laplace Adomian decomposition method for solving quadratic Riccati differential equations

open access: yesMATEC Web of Conferences, 2016
Numerical Laplace transform method is applied to approximate the solution of nonlinear (quadratic) Riccati differential equations mingled with Adomian decomposition method. A new technique is proposed in this work by reintroducing the unknown function in
Mishra Vinod, Rani Dimple
doaj   +1 more source

Analysis and numerical solution of SEIR epidemic model of measles with non-integer time fractional derivatives by using Laplace Adomian Decomposition Method

open access: yesAin Shams Engineering Journal, 2018
SEIR epidemic model which represents the direct transmission of infectious disease are considered to control the measles disease for infected population.
Muhammad Farman   +3 more
doaj   +1 more source

On the Application of Multi-Dimensional Laplace Decomposition Method for Solving Singular Fractional Pseudo-Hyperbolic Equations

open access: yesFractal and Fractional, 2022
In this work, the exact and approximate solution for generalized linear, nonlinear, and coupled systems of fractional singular M-dimensional pseudo-hyperbolic equations are examined by using the multi-dimensional Laplace Adomian decomposition method (M ...
Hassan Eltayeb   +2 more
doaj   +1 more source

Analytical Solutions of the Black–Scholes Pricing Model for European Option Valuation via a Projected Differential Transformation Method [PDF]

open access: yes, 2015
In this paper, a proposed computational method referred to as Projected Differential Transformation Method (PDTM) resulting from the modification of the classical Differential Transformation Method (DTM) is applied, for the first time, to the Black ...
Edeki, S.O.   +2 more
core   +2 more sources

Laplace Adomian decomposition method for solving Newell-Whitehead-Segel equation

open access: yesApplied Mathematical Sciences, 2013
In this manuscript, the Laplace Adomian decomposition method (LADM) is presented to solve Newell-Whitehead-Segel equation. The method can be applied to linear and nonlinear problems. Some examples have been carried out in order to illustrate the efficiency and reliability of the method.
openaire   +1 more source

Analytic solutions of fractional differential equations by operational methods

open access: yes, 2012
We describe a general operational method that can be used in the analysis of fractional initial and boundary value problems with additional analytic conditions. As an example, we derive analytic solutions of some fractional generalisation of differential
Garra, Roberto, Polito, Federico
core   +1 more source

On the analyzing of bifurcation properties of the one‐dimensional Mackey–Glass model by using a generalized approach

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
The goal of this work is to look at how a nonlinear model describes hematopoiesis and its complexities utilizing commonly used techniques with historical and material links. Based on time delay, the Mackey–Glass model is explored in two instances. To offer a range, the relevance of the parameter impacting stability (bifurcation) is recorded.
Shuai Zhang   +5 more
wiley   +1 more source

Using a hybrid technique for the analytical solution of a coupled system of two-dimensional BurgerŠs equations [PDF]

open access: yesResults in Nonlinear Analysis, 2018
Our aim in this paper is to investigate the analytical solutions of two dimensional non- linear system of Burger’s equations. We present two problems for the efficiency of the proposed hybrid techniques form by coupling Laplace transform with Adomian ...
Atta Ullah, Kamal Shah
doaj  

On Distributions of Certain State Dependent Fractional Point Processes

open access: yes, 2018
We obtain the explicit expressions for the state probabilities of various state dependent fractional point processes recently introduced and studied by Garra et al. (2015).
Kataria, K. K., Vellaisamy, P.
core   +1 more source

A Semi-Analytical Method for Solutions of a Certain Class of Second Order Ordinary Differential Equations [PDF]

open access: yes, 2014
This paper presents the theory and applications of a new computational technique referred to as Differential Transform Method (DTM) for solving second order linear ordinary differential equations, for both homogeneous and nonhomogeneous cases.
Adeosun, S. A.   +3 more
core   +1 more source

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