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Solution of Lane Emden–Fowler equations by Taylor series method
In this paper, a new application of the Taylor series method (TSM) and its properties is used to solve partial differential equation problems with a...
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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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Taylor series solution for Lane–Emden equation
Taylor series is accessible to all students and it is a useful mathematical tool to nonlinear equations. This paper shows it is extremely simple to...
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Numerical approximation of higher order singular boundary value problem by using Haar functions
In this paper, we analyse the accuracy of the Haar wavelet approximation method on the singular boundary value problem. We propose to solve some...
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A new mixed MADM-Collocation approach for solving a class of Lane–Emden singular boundary value problems
In this paper, a new approach is proposed for solving a class of singular boundary value problems of Lane–Emden type. It is well known that the...
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A fast-converging iterative scheme for solving a system of Lane–Emden equations arising in catalytic diffusion reactions
In this paper, we present a fast-converging iterative scheme to approximate the solution of a system of Lane–Emden equations arising in catalytic...
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An efficient method for solving coupled Lane–Emden boundary value problems in catalytic diffusion reactions and error estimate
In this paper, we propose an efficient method for solving coupled Lane–Emden boundary value problems in catalytic diffusion reactions. The target is...
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Correction to: On the convergence of Mickens’ type nonstandard finite difference schemes on Lane–Emden type equations
In the original article, the analytical solution of Problem 9 is published incorrectly.
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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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On the convergence of Mickens’ type nonstandard finite difference schemes on Lane-Emden type equations
In this paper, we analyse Mickens’ type non-standard finite difference schemes (NSFD) and establish their convergence. We then apply these schemes on...
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Uniform Haar wavelet technique with Newton’s method for a kind of derivative dependent SBVPs
This work deals with the construction of a coupled technique, uniform Haar wavelet and Newton–Raphson method for a kind (Lane–Emden–Fowler type) of...
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Numerical solution of system of Emden-Fowler type equations by Bernstein collocation method
The system of Emden-Fowler equations occurs frequently in physical and natural sciences. These system of equations are very difficult to handle due...
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Cross diffusion effects on MHD double diffusive viscous flow through Hermite wavelet method
Double-diffusive convection is a form of fluid flow that occurs when two processes of molecular diffusion are active in a fluid at the same time,...
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Optimal homotopy analysis method for the non-isothermal reaction–diffusion model equations in a spherical catalyst
We consider the Lane–Emden boundary value problems which appear in chemical applications, biochemical applications, and scientific disciplines. The...
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An efficient multi-derivative numerical method for chemical boundary value problems
The singular and singularly perturbed boundary value problems (SBVPs and SPBVPs) arise in the modeling of various chemical processes such as the...
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Wavelet-based mathematical analysis of immobilized enzymes in porous catalysts under nonlinear Michaelis–Menten kinetics
Immobilized enzymes in porous catalysts, such as spheres, cylinders, and flat pellets, with nonlinear Michaelis–Menten kinetics find widespread use...
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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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An algorithm based on the variational iteration technique for the Bratu-type and the Lane–Emden problems
In this paper, a new algorithm for the numerical solution of the Bratu-type and the Lane–Emden problems with boundary conditions is presented. The...
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An effective computational technique for a class of Lane–Emden equations
In this work, we propose an effective numerical technique for a class of Lane–Emden equation which arises in chemistry and other branches. This...