Results 51 to 60 of about 839 (148)
The Novel Numerical Solutions for Time‐Fractional Fishers Equation
Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.A new method for solving time‐fractional partial differential equations (TFPDEs) is proposed in the paper. It is known as the fractional Kamal transform decomposition method (FKTDM). TFPDEs are approximated using the FKTDM. The FKTDM is particularly effective for solving various types of fractional partial differential equations (FPDEs), including time‐
Aslı Alkan +3 more
wiley +1 more source
Solving Famous Nonlinear Coupled Equations with Parameters Derivative by Homotopy Analysis Method
International Journal of Differential Equations, 2011 The homotopy analysis method (HAM) is employed to obtain symbolic approximate solutions for nonlinear coupled equations with parameters derivative. These nonlinear coupled equations with parameters derivative contain many important mathematical physics ...
Sohrab Effati +2 more
doaj +1 more source
IEEE Access, 2019 Memristive nonlinear system has drawn much attention in recent years, due to its rich and complex dynamical characteristics. However, there are few studies focus on the analytical analysis of this significant system.
Wei Hu +3 more
doaj +1 more source
Engineering Reports, Volume 7, Issue 12, December 2025.A computational model for analyzing heat and mass transfer in MHD viscoelastic nanofluid flow with Brownian motion, thermal radiation and chemical reaction are developed in this work. The findings demonstrate how flow stability, heat transfer, and solute distribution are impacted by these significant physical effects.
Tazin Tamanna, Sarder Firoz Ahmmed
wiley +1 more source
Impact of Temperature Variability on the Caputo Fractional Malaria Model
Engineering Reports, Volume 7, Issue 3, March 2025.This study aims to analyze the age related characteristics of malaria in human host by exploring Caputo fractional order models with temperature variability, that is looked into the combined effects of fractional order and temperature variability on malaria dynamics.
Dawit Kechine Menbiko +1 more
wiley +1 more source
AxiomsThis paper addresses first- and second-kind Volterra integral equations (VIEs) with discontinuous kernels. A hybrid method combining the Homotopy Analysis Method (HAM) and Physics-Informed Neural Networks (PINNs) is developed.
Samad Noeiaghdam +2 more
doaj +1 more source
Results in Physics, 2015 This paper deals with the fully-developed two-layer Eyring–Powell fluid in a vertical channel divided into two equal regions. One region is filled with the clear Eyring–Powell fluid and other with the nano-Eyring–Powell fluid.
Najeeb Alam Khan +2 more
doaj +1 more source
Abstract and Applied Analysis, Volume 2025, Issue 1, 2025.The Fractional Power Series Method (FPSM) is an effective and efficient method that offers an analytic method to find exact solution for Fractional Partial Differential Equations (FPDEs) in a functional space. In recent time, the FPSM has been applied in various science and engineering fields to solve physical problems in areas such as fluid dynamics ...
Isaac Addai +4 more
wiley +1 more source
Approximate solutions of general perturbed KdV-Burgers equations
Electronic Journal of Differential Equations, 2014 In this article, we present some approximate analytical solutions to the general perturbed KdV-Burgers equation with nonlinear terms of any order by applying the homotopy analysis method (HAM). While compared with the Adomain decomposition method (ADM)
Baojian Hong, Dianchen Lu
doaj
Walailak Journal of Science and Technology, 2013 In this paper, the homotopy analysis method was used to solve nonlinear parabolic-hyperbolic partial differential equations. Examples are presented here to show the usability of the method for such equations.
Mashallah MATINFAR +3 more
doaj +1 more source