A5036734666- Fractional Differential Equations Solutions
- Differential Equations and Numerical Methods
- Advanced Numerical Analysis Techniques
- Nonlinear Waves and Solitons
- Iterative Methods for Nonlinear Equations
- Nonlinear Photonic Systems
- Nanofluid Flow and Heat Transfer
- Numerical methods for differential equations
- 3D Shape Modeling and Analysis
- Numerical methods in engineering
- Computer Graphics and Visualization Techniques
- Differential Equations and Boundary Problems
- Heat Transfer Mechanisms
- Heat Transfer and Optimization
- Nonlinear Differential Equations Analysis
- Fluid Dynamics and Turbulent Flows
- Advanced Mathematical Physics Problems
- Tribology and Lubrication Engineering
- Advanced machining processes and optimization
- Online and Blended Learning
- Rheology and Fluid Dynamics Studies
- Advanced Vision and Imaging
- Advanced Fiber Laser Technologies
- Manufacturing Process and Optimization
- Numerical methods in inverse problems
University of Sargodha
2015-2024
International Islamic University, Islamabad
2024
Superior University
2022-2024
Air University
2024
University of Okara
2024
Government College University, Faisalabad
2024
Universitas Fajar
2022-2023
Khwaja Fareed University of Engineering and Information Technology
2022-2023
RMIT University
2023
University of Technology, Jamaica
2023
In this article, combine effects of Magnetohydrodynamics and partial slip on Blood flow Ree–Eyring fluid through a porous medium have been investigated. The walls the non-uniform channel are considered as compliant. governing equation for blood simplified using long wavelength low Reynolds number approximation. obtained resulting solved analytically exact solution has obtained. impact different physical parameters such Hartmann number, parameter, wall rigidity tension mass characterization...
This study reflects the behaviorof nanoparticles shape on (Ag-TiO2)/water hybrid nanofluid flow toward horizontal permeable stretching shrinking cylinder. The effect of suction and injection parameters is also considered. Three different shapes (sphere, blade, lamina) Ag TiO2 are used in this study. boundarylayer equations problem transformed to a setof non-linearODEs analytical solution these non-linear ODEsis conducted. Thehomotopyanalysis method (HAM) applied findthe resultsof problem....
A finite difference scheme which depends on a new approximation based an extended cubic B-spline for the second order derivative is used to calculate numerical outcomes of time fractional Burgers equation. The presented uses Caputo's formulation derivative. Finite method will be discretize proposed shown unconditionally stable by Von-Neumann method. convergence analysis O(h2+τ2-α). tested four examples. results are compared favorably with other computational schemes.
The jellyfish search (JS) algorithm impersonates the foraging behavior of in ocean. It is a newly developed metaheuristic that solves complex and real-world optimization problems. global exploration capability robustness JS are strong, but still has significant development space for solving problems with high dimensions multiple local optima. Therefore, this study, an enhanced (EJS) developed, three improvements made: (i) By adding sine cosine learning factors strategy, can learn from both...
In this present analysis, three dimensional peristaltic flow of hyperbolic tangent fluid in a non-uniform channel has been investigated. We have considered that the pressure is uniform over whole cross section and interial effects neglected. For purpose we consider laminar under assumptions long wavelength (λ→∞) creeping (Re→0) approximations. The attained highly nonlinear equations are solved with help Homotopy perturbation method. influence various physical parameters interest demonstrated...
In this paper, we have studied the application of drug delivery in magnetohydrodynamics (MHD) peristaltic blood flow nanofluid a non-uniform channel. The governing equation motion and nanoparticles are modeled under consideration creeping long wavelength. resulting non-linear coupled differential is solved with help perturbation. Numerical Integration has been used to obtain results for pressure rise friction forces. impact various pertinent parameters on temperature profile, concentration...
In this article, the simultaneous effects of slip and Magnetohydrodynamics (MHD) on peristaltic blood flow Jeffrey fluid model have been investigated in a non-uniform porous channel. The governing equation for is solved with help long wavelength creeping regime. solution resulting differential analytically closed form presented. impact all physical parameters plotted velocity profile pressure rise. Nowadays, applicable various magnetic drug targeting cancer diseases also very helpful to...
The modeling of Bézier curves and surfaces with their shape parameters is the most popular area research in computer aided geometric design/computer manufacturing (CAGD/CAM) due to characteristics. In this paper, we propose an important idea tackle problem construction some engineering symmetric revolutionary rotation by using generalized hybrid trigonometric (or GHT-Bézier, for short) curve. can be modified alteration parameters. free-form complex GHT-Bézier constraints parametric...
A computational approach based on finite difference scheme and a redefined extended B-spline functions is presented to study the approximate solution of time fractional advection diffusion equation. The Caputo time-fractional derivative have been used for spatial discretization, respectively. numerical shown be O(h2+Δt2-α) accurate unconditionally stable. proposed method tested through some experiments involving homogeneous/non-homogeneous boundary conditions which concluded that it more...
The current paper uses the cubic B-spline functions and θ-weighted scheme to achieve numerical solutions of time fractional Burgers' equation with Atangana–Baleanu derivative. A non-singular kernel is involved in For discretization along temporal spatial grids, proposed technique employs finite difference approach functions, respectively. This unconditionally stable second order convergent directions. presented endorsed by some examples, which show that it applicable accurate.
In this communication, the effect of addition copper (Cu), aluminum oxide (Al 2 O 3 ), and single‐wall carbon nanotubes (SWCNTs) metallic nanoparticles on magnetohydrodynamics (MHD) water‐based flow over a porous elastic surface is explored. The objective work to include radiative that interacts with due permeability surface. significance study stems from fact design various equipment, such as nuclear power plants, gas turbines, propulsion devices for aircraft, missiles, dependent heat...
In this article, an analytical technique based on unified method is applied to investigate the exact solutions of non-linear homogeneous evolution partial differential equations. These equations are reduced ordinary using different traveling wave transformations, and in rational polynomial forms obtained. The obtained presented form 2D 3D graphics study behavior solution by setting out values suitable parameters. acquired results reveal that a approach for handling
Most of the nonlinear phenomena are described by partial differential equation in natural and applied sciences such as fluid dynamics, plasma physics, solid state optical fibers, acoustics, biology mathematical finance. The solutions a wide range evolution equations exhibit wave behavior corresponding to underlying physical systems. In particular, solitary soliton great interest for researchers owing many applications different areas science. gas diffusion homogeneous medium is...
Our aim is to examine the dynamic characteristics of (3+1)-dimensional generalized equation governing shallow water waves. When horizontal extent fluid significantly surpasses vertical dimension, employment equations becomes appropriate. By employing an inventive Ricatti mapping approach, we have obtained a range solitary wave solutions in both explicit and forms. Solitons are particularly useful signal energy transmission due their ability preserve shape during propagation. studying soliton...
In this study, the Jacobi elliptic function method (JEFM) and modified auxiliary equation (MAEM) are used to investigate solitary wave solutions of nonlinear coupled Riemann (RW) equation. Nonlinear partial differential equations (NLPDEs) can be transformed into a collection algebraic by utilising travelling transformation. This study’s objective is learn more about non-linear RW equation, which accounts for tidal waves, tsunamis, static uniform media. The variance in governing model’s...
Abstract The present research investigates the double-chain deoxyribonucleic acid model, which is important for transfer and retention of genetic material in biological domains. This model composed two lengthy uniformly elastic filaments, that stand a pair polynucleotide chains molecule joined by hydrogen bonds among bottom combination, demonstrating formed within chain’s base pairs. modified extended Fan sub equation method effectively used to explain exact travelling wave solutions model....