scholarly journals Approximate analytical solution of nonlinear equations in cubic auto-catalytic reaction-diffusion process

2020 ◽  
Author(s):  
R. Usha Rani ◽  
L. Rajendran
Keyword(s):  
Analytical Solution ◽  
Diffusion Process ◽  
Nonlinear Equations ◽  
Catalytic Reaction ◽  
Approximate Analytical Solution ◽  
Reaction Diffusion

scholarly journals An Approximate Analytical Solution Of Nonlinear Equations In N-Aminopiperidine Synthesis: New Approach Of Homotopy Perturbation Method)

2021 ◽  
Vol 12 (1S) ◽  
pp. 595-605
Author(s):  
R. Joy Salomi, Et. al.
Keyword(s):  
Analytical Solution ◽  
Perturbation Method ◽  
Nonlinear Equations ◽  
Homotopy Perturbation Method ◽  
Approximate Analytical Solution ◽  
Rate Equations ◽  
Simple Analytical Expression ◽  
New Approach ◽  
Homotopy Perturbation ◽  
Numerical Result

the synthesis of N-aminopiperidine (NAPP) using hydroxylamine-O-sulfonic acid (HOSA) is based on system of nonlinear rate equations. The new approach to homotopy perturbation method is applied to solve the nonlinear equations. A simple analytical expression for concentrations of hydroxylamine-O-sulfonique acid (HOSA), piperidine (PP), N-aminopiperidine (NAPP), sodium hydroxide (NaOH) and diazene (N2H2) along with NAPP yield is obtained and is compared with numerical result. Satisfactory agreement is obtained in the comparison of approximate analytical solution and numerical simulation. The obtained analytical result of NAPP yield is compared with the experimental results. The influence of reagents ratio p and rate constants ratio r on yield has been discussed.

scholarly journals APPROXIMATE ANALYTICAL SOLUTION FOR NON-LINEAR REACTION DIFFUSION EQUATIONS IN MODELING OF A BACTERIAL AND FUNGAL BIOFILTER

2020 ◽  
pp. 59-71
Author(s):  
K. M. DHARMALINGAM ◽  
K. VALLI ◽  
M. VEERAMUNI
Keyword(s):  
Mathematical Modeling ◽  
Analytical Solution ◽  
Approximate Analytical Solution ◽  
Reaction Diffusion ◽  
Reaction Diffusion Equations ◽  
Diffusion Equations ◽  
Inversion Method ◽  
Linear Reaction ◽  
Analytical Result ◽  
Fungal Biofilter

The aim of the present work is to find the solution for concentration of pollutant in the biofilm phase using HPM with complex inversion method. The obtained results are validated and illustrate the efficiency of future technique from the figure. Furthermore, the reported analytical result is useful in future modification of mathematical modeling of the biofilter.

Numerical Approximations to Solution of Biochemical Reaction Model

2011 ◽  
Vol 9 (1) ◽  
Author(s):  
Ahmet Yildirim ◽  
Ahmet Gökdogan ◽  
Mehmet Merdan
Keyword(s):  
Analytical Solution ◽  
Approximate Analytical Solution ◽  
Transformation Method ◽  
Reaction Model ◽  
Biochemical Reaction ◽  
Graphical Form ◽  
Kutta Method ◽  
Transform Method ◽  
Runge Kutta Method ◽  
Differential Transform

In this paper, approximate analytical solution of biochemical reaction model is used by the multi-step differential transform method (MsDTM) based on classical differential transformation method (DTM). Numerical results are compared to those obtained by the fourth-order Runge-Kutta method to illustrate the preciseness and effectiveness of the proposed method. Results are given explicit and graphical form.

New Approximate Analytical Solution of the Diode-Resistance Equation

2021 ◽  
pp. 153665
Author(s):  
José A. Gazquez ◽  
Manuel Fernandez-Ros ◽  
Blas Torrecillas ◽  
José Carmona ◽  
Nuria Novas
Keyword(s):  
Analytical Solution ◽  
Approximate Analytical Solution ◽  
Resistance Equation
Sign in / Sign up

Export Citation Format

Share Document