Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
AN EFFECTIVE NUMERICAL METHOD FOR SOLVING THE NONLINEAR SINGULAR LANE-EMDEN TYPE EQUATIONS OF VARIOUS ORDERS
View through CrossRef
The Lane-Emden type equations are employed in the modeling of several phenomena in the areas of mathematical physics and astrophysics. These equations are categorized as non-linear singular ordinary differential equations on the semi-infinite domain. In this paper, the generalized fractional order of the Chebyshev orthogonal functions (GFCFs) of the first kind have been introduced as a new basis for Spectral methods, and also presented an effective numerical method based on the GFCFs and the collocation method for solving the nonlinear singular Lane-Emden type equations of various orders. Obtained results have compared with other results to verify the accuracy and efficiency of the presented method.
Title: AN EFFECTIVE NUMERICAL METHOD FOR SOLVING THE NONLINEAR SINGULAR LANE-EMDEN TYPE EQUATIONS OF VARIOUS ORDERS
Description:
The Lane-Emden type equations are employed in the modeling of several phenomena in the areas of mathematical physics and astrophysics.
These equations are categorized as non-linear singular ordinary differential equations on the semi-infinite domain.
In this paper, the generalized fractional order of the Chebyshev orthogonal functions (GFCFs) of the first kind have been introduced as a new basis for Spectral methods, and also presented an effective numerical method based on the GFCFs and the collocation method for solving the nonlinear singular Lane-Emden type equations of various orders.
Obtained results have compared with other results to verify the accuracy and efficiency of the presented method.
Related Results
Iterative Methods For Solving Nonlinear Lane-Emden Equations]{Iterative Methods For Solving Nonlinear Lane-Emden Equations
Iterative Methods For Solving Nonlinear Lane-Emden Equations]{Iterative Methods For Solving Nonlinear Lane-Emden Equations
In this paper we derive solutions for the nonlinear Lane-Emden type of equations with iterative methods, Daftardar-Jafari Method (DJM), Adomian Decomposition Method (ADM) and Diffe...
Lane Model and Calculation of Lane Geometric Structure and Vehicle Deviation Angle and Position in Lane for Intelligent Vehicle
Lane Model and Calculation of Lane Geometric Structure and Vehicle Deviation Angle and Position in Lane for Intelligent Vehicle
Lane model, lane geometric structure calculation, and vehicle deviation angle and position calculation is a crucial part in automatic drive of intelligent vehicle. In this paper, w...
Numerical simulation of variable-order fractional differential equation of nonlinear Lane–Emden type appearing in astrophysics
Numerical simulation of variable-order fractional differential equation of nonlinear Lane–Emden type appearing in astrophysics
Abstract
This paper suggests the Chebyshev pseudo-spectral approach to solve the variable-order fractional Lane–Emden differential equations (VOFLEDE). The variable-...
Analisis Kebutuhan Modul Matematika untuk Meningkatkan Kemampuan Pemecahan Masalah Siswa SMP N 4 Batang
Analisis Kebutuhan Modul Matematika untuk Meningkatkan Kemampuan Pemecahan Masalah Siswa SMP N 4 Batang
Pemecahan masalah merupakan suatu usaha untuk menyelesaikan masalah matematika menggunakan pemahaman yang telah dimilikinya. Siswa yang mempunyai kemampuan pemecahan masalah rendah...
LHFFNet: A hybrid feature fusion method for lane detection
LHFFNet: A hybrid feature fusion method for lane detection
AbstractLane line images have the essential attribute of large-scale variation and complex scene information, and the similarity between adjacent lane lines is high, which can easi...
Pioneering Numerical Techniques for Solving Differential Equations - A Comprehensive overview
Pioneering Numerical Techniques for Solving Differential Equations - A Comprehensive overview
The field of numerical analysis studies the application of mathematics to solve problems of practical importance. When solving differential equations derived from real-world scenar...
Samuel Falk as Seen by Jacob Emden
Samuel Falk as Seen by Jacob Emden
This chapter focuses on the 1760s, wherein Samuel Falk was besmirched, cursed, and persecuted by Jacob Emden while frequently celebrated by various members of Christian society. It...
Passenger Vehicle Lane Departure Warning, Lane Keeping Assistance, and Lane Centering Assistance Systems Test Procedure
Passenger Vehicle Lane Departure Warning, Lane Keeping Assistance, and Lane Centering Assistance Systems Test Procedure
<div class="section abstract">
<div class="htmlview paragraph">This SAE Recommended Practice establishes a test procedure for the evaluation of lane departure warning...