Results 91 to 100 of about 183,315 (287)

On new sixth and seventh order iterative methods for solving non-linear equations using homotopy perturbation technique [PDF]

, 2022
Srinivasarao Thota, P. Shanmugasundaram
openalex   +1 more source

MHD nanofluid flow in a semi-porous channel [PDF]

, 2014
This research project paper, the problem of laminar nanofluid flow in a semi-porous chan- nel is investigated analytically using Homotopy Perturbation Method (HPM), Least Square Method (LSM) and Differential Transformation Method (DTM).
Samal, Prachismita
core  

Innovative Approaches in Differential Equation Analysis Using the Enhanced Differential Transform and Homotopy Perturbation Method

International Journal of Differential Equations, Volume 2026, Issue 1, 2026.
Ordinary differential equations (ODEs) are very basic when it comes to modeling dynamic systems in various fields of science and engineering. However, solving high‐dimensional, nonlinear, and stiff ODEs is still a major challenge given the limitations of existing numerical methods, which tend to have difficulties in terms of accuracy and efficiency ...
V. Murugesh, M. Priyadharshini, Yogesh Kumar Sharma, Umesh Kumar Lilhore, Sarita Simaiya, Lidia Gosy Tekeste, Gaston Mandata N′Guerekata   +6 more
wiley   +1 more source

Hybrid semi analytical method for geothermal U shaped heat exchanger

Case Studies in Thermal Engineering, 2018
In this paper, convective-conductive heat transfer processes between the all components of geothermal borehole heat exchanger (BHE) such as pipe-in, pipe-out and grout have been studied.
P. Jalili, D.D. Ganji, S.S. Nourazar
doaj   +1 more source

Accelerated Homotopy Perturbation Elzaki Transformation Method for Solving Nonlinear Partial Differential Equations [PDF]

, 2022
Shabnam Jasrotia, Prince Singh
openalex   +1 more source

Error Estimation of the Homotopy Perturbation Method to Solve Second Kind Volterra Integral Equations with Piecewise Smooth Kernels: Application of the CADNA Library

Symmetry, 2020
This paper studies the second kind linear Volterra integral equations (IEs) with a discontinuous kernel obtained from the load leveling and energy system problems. For solving this problem, we propose the homotopy perturbation method (HPM).
S. Noeiaghdam, A. Dreglea, Ji-Huan He, Z. Avazzadeh, Muhammad Suleman, M. A. Araghi, D. N. Sidorov, N. Sidorov   +7 more
semanticscholar   +1 more source

An Optimized Block Hybrid Spectral Simple Iteration Methods for Solving Nonlinear Evolution Equations

International Journal for Numerical Methods in Engineering, Volume 126, Issue 24, 30 December 2025.
ABSTRACT This study presents a new optimized block hybrid method and spectral simple iteration method (OBHM‐SSIM) for solving nonlinear evolution equations. In this method, we employed a combination of the spectral collocation method in space and the optimized block hybrid method in time, along with a simple iteration scheme to linearize the equations.
Salma Ahmedai, Precious Sibanda, Sandile Motsa, Sicelo Goqo, Osman A. I. Noreldin   +4 more
wiley   +1 more source

Analytical method for space-fractional telegraph equation by homotopy perturbation transform method

Nonlinear Engineering, 2016
The object of the present article is to study spacefractional telegraph equation by fractional Homotopy perturbation transform method (FHPTM). The homotopy perturbation transform method is an innovative adjustment in Laplace transform algorithm.
Prakash Amit
doaj   +1 more source

Numerical Investigation of Maxwell Dusty Fluid Flow Over a Porous Medium With Variable Thermal Conductivity

Engineering Reports, Volume 7, Issue 12, December 2025.
Flow geometry. ABSTRACT This research formulates a two‐phase mathematical model to investigate the dynamics of a Maxwell dusty fluid across a linearly stretching surface embedded within a Darcy–Forchheimer porous medium, influenced by a magnetic field and varying thermal conductivity.
Seham Ayesh Allahyani, Shafiullah Niazai, Shanza Nazeer, Madiha Akram, Amal Abdulrahman, Ejaz Ahmed, Sohail Nadeem   +6 more
wiley   +1 more source

Numerical Solutions of Nonlinear Fractional Partial Differential Equations Arising in Spatial Diffusion of Biological Populations

Abstract and Applied Analysis, 2014
The main aim of this work is to present a user friendly numerical algorithm based on homotopy perturbation Sumudu transform method for nonlinear fractional partial differential arising in spatial diffusion of biological populations in animals.
Jagdev Singh, Devendra Kumar, Adem Kılıçman   +2 more
doaj   +1 more source