Mohand homotopy transform scheme for the numerical solution of fractional Kundu–Eckhaus and coupled fractional Massive Thirring equations

X Luo, M Nadeem - Scientific Reports, 2023 - nature.com
In this paper, Mohand homotopy transform scheme is introduced to obtain the numerical
solution of fractional Kundu–Eckhaus and coupled fractional Massive Thirring equations …

A novel optimized decomposition method for Smoluchowski's aggregation equation

S Kaushik, R Kumar - Journal of Computational and Applied Mathematics, 2023 - Elsevier
The Smoluchowski's aggregation equation has applications in the field of bio-
pharmaceuticals (Zidar et al., 2018 [1]), financial sector (Pushkin et al., 2004 [2]), aerosol …

Laplace transform‐based approximation methods for solving pure aggregation and breakage equations

S Kaushik, S Hussain, R Kumar - Mathematical Methods in the …, 2023 - Wiley Online Library
The varied applications of the aggregation and breakage equations in several fields of
science have attracted many researchers to explore accurate novel methods to calculate …

Comparison of variational iteration and Adomian decomposition methods to solve growth, aggregation and aggregation-breakage equations

G Arora, S Hussain, R Kumar - Journal of Computational Science, 2023 - Elsevier
In this work, semi-analytical approaches such as the Adomian decomposition method
(ADM), and variational iteration method (VIM) are examined to solve the aggregation …

[HTML][HTML] Modified variational iteration method and its convergence analysis for solving nonlinear aggregation population balance equation

S Yadav, M Singh, S Singh, S Heinrich, J Kumar - Computers & Fluids, 2024 - Elsevier
This study proposes a novel approach based on the variational iteration method to solve the
nonlinear aggregation population balance equation. The approach provides great flexibility …

Adomian decomposition method for solving fragmentation and aggregation population balance equations

R Singh, J Saha, J Kumar - Journal of Applied Mathematics and …, 2015 - Springer
In this paper, Adomian decomposition method (ADM) is used to obtain the exact and
numerical solutions of fragmentation (breakage) and aggregation (coalescence) population …

Analysis of Fractional Kundu‐Eckhaus and Massive Thirring Equations Using a Hybridization Scheme

M Nadeem, HA Wahash - Journal of Function Spaces, 2023 - Wiley Online Library
This paper deals with the study of fractional Kundu‐Eckhaus equation (FKEE) and fractional
massive Thirring problem (FMTP) that appear in the quantum field theory, weakly nonlinear …

A Laplace-variational iteration method for solving the homogeneous Smoluchowski coagulation equation

Z Hammouch, T Mekkaoui - 2010 - hal.science
In this paper, we introduce a modified variational iteration method to solve the
homogeneous Smoluchowski's coagulation equation. The approximate solutions are …

Analytical approach for the temperature distribution in the casting-mould heterogeneous system

K He, M Nadeem, S Habib, HM Sedighi… - International journal of …, 2022 - emerald.com
Purpose The main purpose of this paper is to calculate the analytical solution or a closed-
form solution for the temperature distribution in the heterogeneous casting-mould system …

Homotopy perturbation and adomian decomposition methods for condensing coagulation and Lifshitz-Slyzov models

G Arora, R Kumar, Y Mammeri - GEM-International Journal on …, 2023 - Springer
This article presents analytic approximate solutions of the condensing coagulation model
(CCM) and Lifshitz-Slyzov equation (LSE) using two different semi-analytical schemes …