Results 81 to 90 of about 7,330 (206)

Modified Semiseparation of Variables Methods for Solving the System of Nonlinear Fractional Partial Differential Equations

International Journal of Differential Equations, Volume 2025, Issue 1, 2025.
The system of nonlinear fractional partial differential equations (SNFPDEs) are widely used in modeling various phenomena in applied sciences. Consequently, finding the solutions to SNFPDEs has become paramount. Recently, an analytic method known as the Semiseparation of Variables Method (S‐SVM) has been applied to obtain the exact solution of the ...
Henry Kwasi Asiedu, Benedict Barnes, Isaac Kwame Dontwi, Kwaku Forkuoh Darkwah, Igor Freire   +4 more
wiley   +1 more source

An algorithm for positive solution of boundary value problems of nonlinear fractional differential equations by Adomian decomposition method [PDF]

, 2016
In this paper, an algorithm based on a new modification, developed by Duan and Rach, for the Adomian decomposition method (ADM) is generalized to find positive solutions for boundary value problems involving nonlinear fractional ordinary differential ...
A. I., Md. Ismail, Hytham. A., Alkresheh
core  

Novel Technique for Solving Fractional‐Order Rabies Model With Computational Simulations

International Journal of Differential Equations, Volume 2025, Issue 1, 2025.
Mathematical modeling using noninteger‐order derivatives has gained rapid attention among scientists and researchers in recent years. This manuscript investigates the dynamics of rabies transmission in a predator–prey framework by formulating the problem as a system of nonlinear fractional initial value problems (FIVPs).
Hafiza Aansa Islam, Waqas Nazeer, Liliana Guran, Deepali   +3 more
wiley   +1 more source

Solving linear optimal control problems of the time-delayed systems by Adomian decomposition method [PDF]

Iranian Journal of Numerical Analysis and Optimization, 2019
We apply the Adomian decomposition method (ADM) to obtain a subop timal control for linear time-varying systems with multiple state and control delays and with quadratic cost functional.
S.M. Mirhosseini-Alizamini
doaj   +1 more source

Comment on the numerical solutions of a new coupled MKdV system (2008 Phys. Scr. 78 045008)

, 2009
In this comment we point out some wrong statements in the paper by Inc and Cavlak, Phys. Scr.
Fernández F M, Fernández F M, Fernández F M, Fernández F M, Fernández F M, Fernández F M, Francisco M Fernández, Frank T D, Inc M   +8 more
core   +1 more source

The Analytic Methods for Solving the System of Fractional Order Brusselator Equations

International Journal of Differential Equations, Volume 2025, Issue 1, 2025.
Systems of fractional order Brusselator equations (SFBEs) have gained recent attention from researchers due to their relevance in the modeling of reaction‐diffusion processes in triple collision, enzymatic reactions, and plasma. Finding the solution to the SFBEs has become paramount in the scientific community.
Henry Kwasi Asiedu, Benedict Barnes, Isaac Kwame Dontwi, Kwaku Forkuoh Darkwah, Md. Kamrujjaman   +4 more
wiley   +1 more source

Application of Natural Transform Method to Fractional Pantograph Delay Differential Equations

Journal of Mathematics, 2019
In this paper, a new method based on combination of the natural transform method (NTM), Adomian decomposition method (ADM), and coefficient perturbation method (CPM) which is called “perturbed decomposition natural transform method” (PDNTM) is ...
M. Valizadeh, Y. Mahmoudi, F. Dastmalchi Saei   +2 more
doaj   +1 more source

Symbolic Generation of Adomian Polynomials for Different Nonlinearities by Python [PDF]

Journal of Chemical and Petroleum Engineering
The Adomian decomposition method (ADM) is a powerful mathematical technique to find closed-form solutions to nonlinear functional equations including ODEs, PDEs, differential-difference, integral, integro-differential, algebraic, and transcendental ...
Mohsen Noorimohammad, Asadollah Houshmand, Hooman Fatoorehchi   +2 more
doaj   +1 more source

Collocation Method using Compactly Supported Radial Basis Function for Solving Volterra's Population Model

, 2015
In this paper, indirect collocation approach based on compactly supported radial basis function is applied for solving Volterras population model.
Hemami, Mohammad, Parand, Kourosh
core   +1 more source

New Numerical Solutions for Caputo–Fabrizio Fractional Differential Multidimensional Diffusion Problems

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
This study examined the multidimensional fractional diffusion equations that characterize the density dynamics in a diffusing medium utilizing the exact and analytical Aboodh transform decomposition method (ATDM). The Caputo–Fabrizio (CF) derivative is utilized to account for the fractional derivative that is being employed here.
Yasin Şahin, Mehmet Merdan, R. N. Mohapatra   +2 more
wiley   +1 more source