A New Numerical Technique for Solving Volterra Integral Equations Using Chebyshev Spectral Method
In this work, we propose a new method for solving Volterra integral equations. The technique is based on the Chebyshev spectral collocation method. The application of the proposed method leads Volterra integral equation to a system of algebraic equations that are easy to solve. Some examples are pre...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2021-01-01
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| Series: | Mathematical Problems in Engineering |
| Online Access: | http://dx.doi.org/10.1155/2021/9230714 |
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doaj-537a78a5cf8743c888b6a9589066e9d72021-09-13T01:23:33ZengHindawi LimitedMathematical Problems in Engineering1563-51472021-01-01202110.1155/2021/9230714A New Numerical Technique for Solving Volterra Integral Equations Using Chebyshev Spectral MethodAhmed A. Khidir0Faculty of Technology of Mathematical Sciences and StatisticsIn this work, we propose a new method for solving Volterra integral equations. The technique is based on the Chebyshev spectral collocation method. The application of the proposed method leads Volterra integral equation to a system of algebraic equations that are easy to solve. Some examples are presented and compared with some methods in the literature to illustrate the ability of this technique. The results demonstrate that the new method is more efficient, convergent, and accurate to the exact solution.http://dx.doi.org/10.1155/2021/9230714 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Ahmed A. Khidir |
| spellingShingle |
Ahmed A. Khidir A New Numerical Technique for Solving Volterra Integral Equations Using Chebyshev Spectral Method Mathematical Problems in Engineering |
| author_facet |
Ahmed A. Khidir |
| author_sort |
Ahmed A. Khidir |
| title |
A New Numerical Technique for Solving Volterra Integral Equations Using Chebyshev Spectral Method |
| title_short |
A New Numerical Technique for Solving Volterra Integral Equations Using Chebyshev Spectral Method |
| title_full |
A New Numerical Technique for Solving Volterra Integral Equations Using Chebyshev Spectral Method |
| title_fullStr |
A New Numerical Technique for Solving Volterra Integral Equations Using Chebyshev Spectral Method |
| title_full_unstemmed |
A New Numerical Technique for Solving Volterra Integral Equations Using Chebyshev Spectral Method |
| title_sort |
new numerical technique for solving volterra integral equations using chebyshev spectral method |
| publisher |
Hindawi Limited |
| series |
Mathematical Problems in Engineering |
| issn |
1563-5147 |
| publishDate |
2021-01-01 |
| description |
In this work, we propose a new method for solving Volterra integral equations. The technique is based on the Chebyshev spectral collocation method. The application of the proposed method leads Volterra integral equation to a system of algebraic equations that are easy to solve. Some examples are presented and compared with some methods in the literature to illustrate the ability of this technique. The results demonstrate that the new method is more efficient, convergent, and accurate to the exact solution. |
| url |
http://dx.doi.org/10.1155/2021/9230714 |
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AT ahmedakhidir anewnumericaltechniqueforsolvingvolterraintegralequationsusingchebyshevspectralmethod AT ahmedakhidir newnumericaltechniqueforsolvingvolterraintegralequationsusingchebyshevspectralmethod |
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