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Fibonacci wavelet collocation method for the numerical approximation of fractional order Brusselator chemical model
This research study’s primary goal is to create an efficient wavelet collocation technique to resolve a kind of nonlinear fractional order systems of...
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Numerical solution of some stiff systems arising in chemistry via Taylor wavelet collocation method
This paper presents the innovative Taylor wavelet collocation method (TWCM) for the stiff systems arising in chemical reactions. In this technique,...
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Numerical approximation of the typhoid disease model via Genocchi wavelet collocation method
In this paper, we have considered the fractional typhoid disease model and obtained the numerical approximation of the model via the innovative...
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An innovative Vieta–Fibonacci wavelet collocation method for the numerical solution of three-component Brusselator reaction diffusion system of fractional order
The research article presents a novel approach for the numerical solution of three-component time fractional order Brusselator reaction-diffusion...
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Bernstein and Gegenbauer-wavelet collocation methods for Bratu-like equations arising in electrospinning process
We propose two numerical techniques for solving Bratu-like equations arising in the electrospinning and vibration-electrospinning process. Due to the...
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Applications of the Bernoulli wavelet collocation method in the analysis of MHD boundary layer flow of a viscous fluid
This study focuses on the flow of viscous, electrically conducting incompressible fluid over a stretching plate. The Falkner–Skan equation is a...
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Applications of Bernoulli wavelet collocation method in the analysis of Jeffery–Hamel flow and heat transfer in Eyring–Powell fluid
In this article, we developed the new functional matrix of integration using the Bernoulli wavelet and proposed a novel technique called the...
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A robust scheme for Caputo variable-order time-fractional diffusion-type equations
The focus of this work is to construct a pseudo-operational Jacobi collocation scheme for numerically solving the Caputo variable-order...
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Sinc collocation approach through thermal analysis of porous fin with magnetic field
The extended surfaces, known as fins, are of great importance in various industrial applications in electric/electronic devices, heat exchangers,...
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A new spectral collocation method for solving Bratu-type equations using Genocchi polynomials
In this paper, we have introduced a new Genocchi polynomial approximation method for solving Bratu-type equations arising in Engineering. With the...
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Wavelet solution of a strongly nonlinear Lane–Emden equation
Capturing solution near the singular point of any nonlinear SBVPs is challenging because coefficients involved in the differential equation blow up...
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A new graph theoretic analytical method for nonlinear distributed order fractional ordinary differential equations by clique polynomial of cocktail party graph
In this paper, we presented a new analytical method for one of the rapidly emerging branches of fractional calculus, the distributed order fractional...
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Study of conduction heat transfer in semi-elliptic cross sections using analytical and bivariate Chebyshev pseudospectral methods
Exact analytical solutions have been obtained for conduction heat transfer in a long rod or duct, having cross section of a semi-ellipse, using the...
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Grid design and numerical modeling of multiphase flow in complex reservoirs using orthogonal collocation schemes
An advanced grid system design was developed to capture accurately the effects of geometrically complex features such as geological features (faults,...
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Evaluation of smooth reaction rate of noisy experimental data using Legendre series expansion
The accurate calculation of reaction rates from experimental data is crucial for understanding and characterizing chemical processes. However, the...
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Shishkin mesh based septic Hermite interpolation algorithm for time-dependent singularly perturbed convection–diffusion models
The septic Hermite collocation method is used to examine the behavior of time-dependent singularly perturbed convection–diffusion equations in this...
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Sigma-point and stochastic gradient descent approach to solving global self-optimizing controlled variables
Direct numerical optimization for the global self-optimizing control (gSOC) problem has been recently attempted in the rigorous nonlinear programming...
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Novel insight into the miniemulsification process: CFD applied to ultrasonication
Miniemulsion and miniemulsion polymerization are experiencing a recent revival. However, in spite of the multitude of publications on miniemulsion,...
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Certain results associated with mixed integral equations and their comparison via numerical methods
In this article, we consider existence and unique of solutions of linear mixed integral equations of third, second and first kinds. Then, we use the...
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Solving an electrically conducting nanofluid over an impermeable stretching cylinder problem with a spectral reproducing kernel method
In this paper, a nonlinear mechanical system of ordinary differential equations (ODEs) with multi-point boundary conditions is considered by a novel...
