ICCK Journal of Applied Mathematics

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  ISSN:  3068-5656
ICCK Journal of Applied Mathematics is a peer-reviewed international journal dedicated to the publication of high-quality research in all areas of applied mathematics.
E-mail:[email protected]  DOI Prefix: 10.62762/JAM
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Recent Articles

Open Access | Research Article | 27 July 2025
Bifurcation and Stability Analysis of Transmission Dynamics of Ebola Virus Using Seirvh Model
ICCK Journal of Applied Mathematics | Volume 1, Issue 2: 41-51, 2025 | DOI: 10.62762/JAM.2025.550087
Abstract
This study presents a mathematical framework to analyze the transmission dynamics of the Ebola Virus Disease (EVD) using an extended SEIRVH model. The model incorporates vaccinated and hospitalized compartments, addressing critical factors such as vaccination efficacy, healthcare interventions, and natural disease progression. Differential equations describe the transitions between six population compartments. The study evaluates model stability and bifurcation through well-posedness, positivity, and boundedness analyzes, ensuring realistic and biologically valid solutions. The basic reproduction number, R0, derived from the next generation matrix, serves as a threshold for outbreak control.... More >

Graphical Abstract
Bifurcation and Stability Analysis of Transmission Dynamics of Ebola Virus Using Seirvh Model

Open Access | Research Article | 27 June 2025
Heat Transfer and Modified Darcy's Principle in Peristaltic Motion with Hartmann Boundary Layer
ICCK Journal of Applied Mathematics | Volume 1, Issue 1: 32-40, 2025 | DOI: 10.62762/JAM.2025.463651
Abstract
This research contains the Hartmann boundary layer effectiveness in peristaltic flow of non-Newtonian viscoelastic fluids through asymmetric channel walls. Due to the Hartmann boundary layer, Hartmann number is considered very large. Porosity effects are included in view of modified Darcy's principle. Energy equation is modelled in the presence of viscous dissipation and Joule heating features. No slip condition for fluid velocity is considered at both channel walls. Large wavelength and dominating viscous forces implementation reduce the PDEs into ODEs. The resulting system of ODEs approximate solution is attained through perturbation and matching techniques for large magnetic field effects... More >

Graphical Abstract
Heat Transfer and Modified Darcy's Principle in Peristaltic Motion with Hartmann Boundary Layer

Open Access | Research Article | 25 June 2025
Homotopic Computations for Non-Darcian Modified EyringPowell Incompressible Liquid Configured by Varying Thickened Surface
ICCK Journal of Applied Mathematics | Volume 1, Issue 1: 25-31, 2025 | DOI: 10.62762/JAM.2025.152881
Abstract
The simulations for non-Fourier heat transfer model has been performed for modified Eyring-Powell fluid, comprising the vairbale visocity. The interia outcomes for thermal problem are evaluated by interpreating the Darcy-Forchheimer features. The investigation for visualzing the heat transfer aspects is subject to variable thermal conductivty. The induction of flow is nonlinear moving surface. After developing the governing expressions, analytical treamtnet of problem is presented. The results are graphically presented to endorse physical aspects of current model. More >

Graphical Abstract
Homotopic Computations for Non-Darcian Modified EyringPowell Incompressible Liquid Configured by Varying Thickened Surface

Open Access | Research Article | 21 June 2025
Numerical Analysis of HBr-Cl2 Capacitive Coupled Plasma Using a Two-Dimensional Fluid Model
ICCK Journal of Applied Mathematics | Volume 1, Issue 1: 15-24, 2025 | DOI: 10.62762/JAM.2025.440251
Abstract
This research focuses on the computational analysis and numerical investigation of BrCl ion density within an HBr-Cl_2 capacitively coupled plasma system. A two-dimensional fluid simulation model was developed to examine the influence of varying the HBr: Cl_2 gas ratio on BrCl ion formation. The simulation framework incorporates fundamental plasma fluid equations, including the continuity equation, momentum conservation equations, and energy conservation equations, along with appropriate boundary conditions. The investigation specifically explored gas composition variations ranging from 10% Cl_2 and 90% HBr to 90% Cl_2 and 10% HBr, incremented in 20% steps. The radio frequency (RF) driving f... More >

Graphical Abstract
Numerical Analysis of HBr-Cl2 Capacitive Coupled Plasma Using a Two-Dimensional Fluid Model

Open Access | Research Article | 20 June 2025
Nanofluid Heat Transfer in Thermal Systems: Case Studies on Brownian and Thermophoretic Phenomena
ICCK Journal of Applied Mathematics | Volume 1, Issue 1: 3-14, 2025 | DOI: 10.62762/JAM.2025.801252
Abstract
This study presents the application of the Artificial Neural Network Backpropagation Levenberg-Marquardt (ANN-BLMS) model for solving the nonlinear system of equations governing the flow of Casson-Williamson nanofluid under the influence of a magnetic field, Brownian motion, and thermophoresis effects. The model was trained using MATLAB's "bvp4c" solver to generate a reference dataset for various flow scenarios. Graphs having significant interest such as Nusselt Number are plotted and performance evaluation was carried out across multiple scenarios, which included variations in parameters such as Prandtl number, Weissenberg number, and Brownian motion coefficient. The results demonstrate tha... More >

Graphical Abstract
Nanofluid Heat Transfer in Thermal Systems: Case Studies on Brownian and Thermophoretic Phenomena

Open Access | Editorial | 10 May 2025
Editorial: Advancing Applied Mathematics for Energy, Environment, and Smart Systems
ICCK Journal of Applied Mathematics | Volume 1, Issue 1: 1-2, 2025 | DOI: 10.62762/JAM.2025.112714
Abstract
The twenty-first century deals with two major problems that require speeding up technological progress alongside environmental preservation. The field of applied mathematics which used to function as a supporting tool now operates as a transformative engine which drives progress in thermal management, energy storage, nanofluidics, artificial intelligence and environmental modeling. The ICCK Journal of Applied Mathematics begins its first edition at the point where necessity and opportunity unite to enable cross-disciplinary research between theoretical models and technological implementation. More >
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ICCK Journal of Applied Mathematics

ICCK Journal of Applied Mathematics

eISSN: 3068-5656

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