Results 71 to 80 of about 16,217 (190)

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

A Decompositional Approach for Two‐Dimensional, Two‐Phase, Nonlinear Inverse Stefan Problems Using the Method of Fundamental Solutions

Studies in Applied Mathematics, Volume 156, Issue 2, February 2026.
ABSTRACT In this paper, we propose a decompositional (phase‐wise split) approach to solve a two‐dimensional, two‐phase (solid and liquid, say), nonlinear inverse Stefan problem. The first step is to approximate the unknown moving boundary between the two phases and the Stefan condition on that boundary using the overspecified boundary and initial data ...
Gujji Murali Mohan Reddy, Phalguni Nanda, Michael Vynnycky   +2 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

Control of Dissipative Heat on the MHD Casson Fluid With the Interaction of Velocity Slip and Convective Condition Over a Stagnation Point

Asia-Pacific Journal of Chemical Engineering, Volume 21, Issue 1, January/February 2026.
ABSTRACT The growing need for enhanced thermal regulation is vital in recent advancements such as biomedical engineering, polymer processing, etc. In particular, the non‐Newtonian fluid likely Casson fluid with yield stress is used in these areas because of its ability to prepare biofluids and industrial suspensions effectively.
Bhagyabati Behuria, B. Nayak, S. R. Mishra   +2 more
wiley   +1 more source

Dissipative Heat Impact on the Non‐Newtonian Walter's B Nanoliquid Over an Elongating Surface Through a Permeable Medium

Asia-Pacific Journal of Chemical Engineering, Volume 21, Issue 1, January/February 2026.
ABSTRACT The utilisation of viscoelastic Walter's B nanoliquid in engineering and biomedical applications gained substantial attention because of its ability to provide real‐time fluid behaviour, particularly in the heat flow mechanism. In particular, the flow of viscoelastic fluid over an elongating surface is useful in polymer processing and ...
Laxmipriya Swain, Subhajit Panda, S. R. Mishra, Rupa Baithalu   +3 more
wiley   +1 more source

INTEGRAL TRANSFORMS WITH THE HOMOTOPY PERTURBATION METHOD AND SOME APPLICATIONS [PDF]

This paper applies He's homotopy perturbation method to compute a large variety of integral transforms. As illustration, the paper gives special attention to the Esscher transform, the Fourier transform, the Hankel transform, the Mellin transform, the ...
Jules Sadefo Kamdem
core  

Exploring the Effects of Reduced Gravitational Field Impacts on Convective Heat Transfer: A Comprehensive Review

Heat Transfer, Volume 55, Issue 1, Page 764-774, January 2026.
ABSTRACT This review explores the impact of gravitational instability on convective heat transfer, integrating existing research results and theoretical models. Gravitational instability is vital in promoting or hindering convective actions in different systems, such as atmospheric events, ocean currents, and industrial processes.
Hossam A. Nabwey, Muhammad Ashraf, A. M. Rashad, Ali J. Chamkha   +3 more
wiley   +1 more source

The exact solutions of nonlinear problems by Homotopy Analysis Method (HAM) [PDF]

Computational Ecology and Software, 2016
The present paper presents the comparison of analytical techniques. We establish the existence of the phenomena of the noise terms in the perturbation series solution and find the exact solution of the nonlinear problems.
Hafiz Abdul Wahab, Saira Bhatti, Mohammad Naeem   +2 more
doaj  

A Survey of SIR‐Based Differential Epidemic Models for Control and Security Against Malware Propagation in Computer Networks

SECURITY AND PRIVACY, Volume 9, Issue 1, January/February 2026.
ABSTRACT Unarguably, malware and their variants have metamorphosed into objects of attack and cyber warfare. These issues have directed research focus to modeling infrastructural settings and infection scenarios, analyzing propagation mechanisms, and conducting studies that highlight optimized remedial measures.
Chukwunonso Henry Nwokoye
wiley   +1 more source

Homotopy Perturbation Method For Fractional Shallow Water Equations

Sultan Qaboos University Journal for Science, 2014
In this paper, the homotopy perturbation method is adopted to find explicit and numerical solutions for systems of non-linear fractional shallow water equations. The fractional derivatives are described in the Caputo sense.
Kamel Al-Khaled, M. K. Al-Safeen
doaj   +1 more source