التفاصيل البيبلوغرافية
| العنوان: |
Collocation Technique Based on Chebyshev Polynomials to Solve Emden–Fowler-Type Singular Boundary Value Problems with Derivative Dependence. |
| المؤلفون: |
Kumari, Shabanam, Singh, Arvind Kumar, Gupta, Utsav |
| المصدر: |
Mathematics (2227-7390); Feb2024, Vol. 12 Issue 4, p592, 16p |
| مصطلحات موضوعية: |
BOUNDARY value problems, CHEBYSHEV polynomials, NONLINEAR equations, NEWTON-Raphson method, APPLIED mathematics, COLLOCATION methods |
| مستخلص: |
In this work, an innovative technique is presented to solve Emden–Fowler-type singular boundary value problems (SBVPs) with derivative dependence. These types of problems have significant applications in applied mathematics and astrophysics. Initially, the differential equation is transformed into a Fredholm integral equation, which is then converted into a system of nonlinear equations using the collocation technique based on Chebyshev polynomials. Subsequently, an iterative numerical approach, such as Newton's method, is employed on the system of nonlinear equations to obtain an approximate solution. Error analysis is included to assess the accuracy of the obtained solutions and provide insights into the reliability of the numerical results. Furthermore, we graphically compare the residual errors of the current method to the previously established method for various examples. [ABSTRACT FROM AUTHOR] |
|
Copyright of Mathematics (2227-7390) is the property of MDPI and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) |
| قاعدة البيانات: |
Complementary Index |
Full Text Finder