Journal ArticleDOI
Non-optimal fourth-order and optimal sixth-order B-spline collocation methods for Lane-Emden boundary value problems
TLDR
In this paper, two B-spline collocation methods for a class of nonlinear singular Lane-Emden type equations which describe several phenomena in theoretical physics and astrophysics are described.About:
This article is published in Applied Numerical Mathematics.The article was published on 2019-11-01. It has received 16 citations till now. The article focuses on the topics: Collocation & Boundary value problem.read more
Citations
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Journal ArticleDOI
A high accuracy numerical method and its convergence for time-fractional Black-Scholes equation governing European options
TL;DR: In this paper, a high order numerical approach based on a uniform mesh for efficient numerical solution of time-fractional Black-Scholes equation, governing European options, is proposed.
Journal ArticleDOI
Chirped solitons in discrete electrical transmission line
Alphonse Houwe,Souleymanou Abbagari,Gambo Betchewe,Serge Y. Doka,Kofane Timoleon Crepin,Kottakkaran Sooppy Nisar +5 more
TL;DR: In this paper, the envelope Ginzburg Landau (GL) equation was derived by employing reductive perturbation method in a small amplitude in a discrete nonlinear electrical transmission line with resonant tunneling diode (RTD).
Journal ArticleDOI
On some wavelet solutions of singular differential equations arising in the modeling of chemical and biochemical phenomena
TL;DR: In this article, two numerical schemes based on Jacobi and Bernoulli wavelets were proposed for the solution of the governing equation of electrohydrodynamic flow in a circular cylindrical conduit, nonlinear heat conduction model in the human head, and non-isothermal reaction diffusion model equations in a spherical catalyst and a spherical biocatalyst.
Journal ArticleDOI
A Review on a Class of Second Order Nonlinear Singular BVPs
TL;DR: In this paper, the authors provide a detailed literature survey of nonlinear singular boundary value problems (SBVPs) and cover different analytical and numerical techniques which are developed to deal with a class of NBDEs.
Journal ArticleDOI
Dynamics of a mechanical network consisting of discontinuous coupled system oscillators with strong irrational nonlinearities: Resonant states and bursting waves
Adoum Danao Adile,Fabien Kenmogne,Alain Kammogne Soup Tewa,Hervé Simo,Abakar Mahmat Tahir,Sunil Kumar +5 more
TL;DR: In this article, the authors investigated the dynamical behavior of a mechanical network consisting of discontinuous elastically coupled system oscillators with strong irrational nonlinearities, with smooth or discontinuous characteristics depending just to the inclination angles of strings, and they used to study the steady states as well as their stabilities analysis.
References
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Book
A practical guide to splines
TL;DR: This book presents those parts of the theory which are especially useful in calculations and stresses the representation of splines as linear combinations of B-splines as well as specific approximation methods, interpolation, smoothing and least-squares approximation, the solution of an ordinary differential equation by collocation, curve fitting, and surface fitting.
Book
Splines and Variational Methods
TL;DR: In this article, Lagrangians interpolates Hermitian interpolates polynomial splines and generalizations approximating functions of several variables fundamentals for variational methods the finite element method the method of collocation.
Journal ArticleDOI
A collocation method for boundary value problems
TL;DR: Collocation with piecewise polynomial functions is developed as a method for solving two-point boundary value problems in this paper, and convergence is shown for a general class of linear problems and a rather broad class of nonlinear problems.
Journal ArticleDOI
An approximation algorithm for the solution of the nonlinear lane-emden type equations arising in astrophysics using hermite functions collocation method
TL;DR: A collocation method for solving some well-known classes of Lane–Emden type equations which are nonlinear ordinary differential equations on the semi-infinite domain based on a Hermite function collocation (HFC) method is proposed.
Journal ArticleDOI
Approximate solution of a differential equation arising in astrophysics using the variational iteration method
Mehdi Dehghan,Fatemeh Shakeri +1 more
TL;DR: In this article, a variational iteration method was used to solve the Lane-Emden equation for a self-gravitating, spherically symmetric polytropic fluid.
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