Chaos synchronization is a procedure where one chaotic oscillator forced to adjust the properties of another for all future states. This research paper studies and investigates global chaos problem two identical systems non‐identical using linear active control technique. Based on Lyapunov stability theory technique, stabilizing controllers are designed asymptotically closed‐loop system both synchronization. Numerical simulations graphs imparted justify efficiency effectiveness proposed...

Abstract A steady two‐dimensional Casson nanofluid flow over the permeable stretching/shrinking sheet along viscous dissipation and chemical reaction is studied in this article. The convective boundary condition incorporated energy equation. Similarity variables are applied to convert governing partial differential equations into ordinary equations. numerical solutions of obtained by using shooting method with Maple implementation. findings indicate occurrence dual for a certain range...

The purpose of the present paper is to investigate micropolar nanofluid flow on permeable stretching and shrinking surfaces with velocity, thermal concentration slip effects. Furthermore, radiation effect has also been considered. Boundary layer momentum, angular heat mass transfer equations are converted non-linear ordinary differential (ODEs). Then, obtained ODEs solved by applying shooting method in results, dual solutions certain ranges pertinent parameters both cases surfaces. Due...

A mathematical analysis is performed to study the flow and heat transfer phenomena of Casson based nanofluid with effects porosity parameter viscous dissipation over exponentially permeable stretching shrinking surface. The considered comprises as a base fluid that contains silver ( Ag) copper Cu ) solid nanoparticles. system nonlinear governing partial differential equations (PDEs) are converted into ordinary (ODEs) by applying similarity transformation. obtained ODEs solved using shooting...

This paper discusses scattered data interpolation by using cubic Timmer triangular patches. In order to achieve C1 continuity everywhere, we impose a rational corrected scheme that results from convex combination between three local schemes. The final interpolant has the form quintic numerator and quadratic denominator. We test considering established dataset as well visualizing rainfall digital elevation in Malaysia. compare performance proposed some well-known Numerical graphical are...

Abstract This paper discusses the functional scattered data interpolation to interpolate general data. Compared with previous works, we construct a new cubic Bézier-like triangular basis function controlled by three shape parameters. is an advantage compared existing schemes since it gives more flexibility for design in geometric modeling. By choosing some suitable value of parameters, this reduced Ball and Bézier patches, respectively. In order apply proposed bases data, firstly...

The problem of chaos synchronization is to design a coupling between two chaotic systems (master-slave/drive-response configuration) such that the time evaluation becomes ideal and output slave (response) system asymptotically follows master (drive) system. This paper has addressed using Nonlinear Control Techniques, based on Lyapunov stability theory. It been shown proposed schemes have outstanding transient performances analytically as well graphically, globally stable. Suitable feedback...

In this paper, a numerical procedure called multistage optimal homotopy asymptotic method (MOHAM) is introduced to solve multi-pantograph equations with time delay. It was shown that the MOHAM algorithm rapidly provides accurate convergent approximate solutions of exact solution using only one term. A comparative study between proposed method, perturbation (HPM) and Taylor matrix are presented. The obtained results revealed higher accuracy, effective easy use.

Scattered data interpolation is important in sciences, engineering, and medical-based problems. Quartic Bézier triangular patches with 15 control points (ordinates) can also be used for scattered interpolation. However, this method has a weakness; that is, order to achieve C 1 continuity, the three inner only determined using an optimization method. Thus, we cannot obtain exact ordinates, quartic scheme global not local. Therefore, received less attention. In work, use Zhu Han’s spline ten...

This paper discusses the constraint data interpolation or range restricted for surface arranges on rectangular meshes that lie above below an arbitrary plane and between two planes by using partially blended rational bi-cubic spline function with 12 parameters. Common research in is to construct constrained linear plane. However, this paper, we consider surfaces up degree three (cubic). To shape preserving properties, i.e., resulting will single respective planes, dependent sufficient...

In this paper, we studied the 2D steady laminar boundary layer flow and heat transfer of Casson based nanofluid over an exponentially vertical stretching shrinking sheet using one phase model.The thermal radiation source/sink parameters are incorporated in equation slip for velocity temperature considered conditions.The similarity variables have been used to convert governing equations as a system partial differential ordinary equations.The transformed then solved by applying shooting...

Delay differential equations (known asDDEs) are a broad use of many scientific researches and engineering applications.They come because the pace shift in their mathematical models relies all basis not just on present condition, but also certain past cases.In this work, we propose an algorithm approximate method to solve linear fuzzy delay using Homotopy Perturbation Method with double parametric form numbers.The detailed approach fuzzification defuzzificationis analysis is provided.In...

Spatial interpolation is a method that can be used to estimate the unknown value (or parameter) at certain time or location. Besides of that, shape preserving especially positivity play an important role for data visualization where resulting interpolating surface must positive everywhere. In this study, we use triangulation based consists cubic Bézier triangular patches rainfall amount spatial localization. This scheme useful compared mesh free methods which are required optimization...

The construction of a range restricted bivariate C1 ( or G1 ) interpolant to scattered data is considered in which the positive everywhere if original are positive. This study motivated by earlier work sufficient conditions derived on Bézier points order ensure that surfaces comprising cubic triangular patches always and satisfy continuity conditions. In current work, simpler more relaxed points. gradients at sites then calculated (and modified necessary) these satisfied. Each patch...

This paper presents the robust synchronization problem of a 3D chaotic system by using active control technique. Based on Gershgorin theorem and Routh-Hurwitz criterion, sufficient algebraic conditions are derived to design linear controller gain matrix. The then applied for stability error dynamics in presence an unknown bounded smooth external disturbance. proposed strategy with suitable computation matrix is simple establishes fast convergence rates signals. Numerical simulation results...

In this study, a new scheme for positivity preserving interpolation is proposed by using <i>C</i>¹ rational quartic spline of (quartic/quadratic) with three parameters. The sufficient condition the interpolant derived on one parameter meanwhile other two are free parameters shape modification. These conditions will guarantee to provide positive interpolating curve everywhere. We tested four data and compared results established schemes. Based graphical numerical results, we found...

This paper discusses the positivity preserving interpolation for positive surfaces data by extending C 1 rational cubic spline interpolant of Karim and Kong to bivariate cases. The partially blended bicubic has 12 parameters in descriptions where 8 them are free parameters. sufficient conditions derived on every four boundary curves network rectangular patch. Numerical comparison with existing schemes also been done detail. Based Root Mean Square Error (RMSE), our is a par established methods.

New rational cubic Ball interpolation with one parameter is proposed for shape preserving such as positivity, monotonicity, and convexity preservations constrained data lie on the same side of given straight line. To produce interpolant, dependent sufficient condition derived parameter. The bicubic function constructed by using tensor product approach it will be used application in image upscaling. Numerical graphical results are presented Mathematica MATLAB including comparison some existing scheme.

In this paper, a semi analytical algorithm, namely homotopy analysis method (HAM) is presented for the first time to obtain approximate solutions of nth order two point fuzzy boundary value problems (TPFBVP) involving ordinary differential equations. This allows solution TPFBVP be calculated in form an infinite series with components that can easily calculated. The HAM utilises convergence control parameter region solution. Numerical experiment tested highlight important features algorithm....

This research focuses on the approximate solutions of second-order fuzzy differential equations with initial condition two different methods depending properties set theory.The in this based Optimum homotopy asymptotic method (OHAM) and analysis (HAM) are used implemented analyzed to obtain solution nonlinear equation.The concept topology is both produce a convergent series for propped problem.Nevertheless, contrast other destructive approaches, these do not rely upon tiny or large...