Scholarlink

<p>In this paper, we use the radial basis functions (RBF) and Bernstein polynomials to solve the linear fractional partial differential equations (FPDEs). First, we combine the RBF and the Bernstein polynomials to obtain the radial basis functions based on Bernstein polynomials with two variables. Then, we approximate the functions in the FPDEs by discretizing the Caputo fractional derivative. Therefore, the fractional partial differential equations convert into a linear system of algebraic equations. Finally, some numerical examples are presented to illustrate the efficiency and accuracy of our method.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

COMBINING RADIAL BASIS FUNCTIONS AND BERNSTEIN POLYNOMIALS TO SOLVE LINEAR FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS

  • 期刊论文

  • 发表日期：

    2025年3月20日

查看全文
  • Kamel J. K. Al-Tamimi,
  • Ali A. Sattar Al-Sayegh,
  • A. R. Soheili

摘要

In this paper, we use the radial basis functions (RBF) and Bernstein polynomials to solve the linear fractional partial differential equations (FPDEs). First, we combine the RBF and the Bernstein polynomials to obtain the radial basis functions based on Bernstein polynomials with two variables. Then, we approximate the functions in the FPDEs by discretizing the Caputo fractional derivative. Therefore, the fractional partial differential equations convert into a linear system of algebraic equations. Finally, some numerical examples are presented to illustrate the efficiency and accuracy of our method.