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- W4386793020 abstract "In this thesis, we modify the finite integration method by using the shifted Chebyshev
 polynomial (FIM-SCP). The major tool of our FIM-SCP is the shifted Chebyshev
 integration matrix. It is constructed in order to be a matrix representation for integrating
 over interpolated points which are generated by the zeros of shifted Chebyshev
 polynomial of a certain degree. The efficiently numerical algorithms are then created
 by the modified FIM-SCP for seeking approximate solutions of a system of stiff linear
 ordinary differential equations, a system of linear Volterra integro-differential equations,
 and a system of linear Fredholm integro-differential equations under some given boundary
 conditions. Furthermore, our three proposed algorithms are examined the performance
 via the diversified numerical experiments. The comparisons of their analytical solutions
 or approximate solutions obtained by our proposed algorithms with other methods are
 also illustrated through the average absolute error. They provide that our numerical
 algorithms achieve a significantly accurate improvement." @default.
- W4386793020 created "2023-09-16" @default.
- W4386793020 creator A5015759903 @default.
- W4386793020 date "2023-09-15" @default.
- W4386793020 modified "2023-09-26" @default.
- W4386793020 title "Solving system of linear Integro-differential equations by finite integration method with shifted Chebyshev polynomials" @default.
- W4386793020 doi "https://doi.org/10.58837/chula.the.2019.13" @default.
- W4386793020 hasPublicationYear "2023" @default.
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