ADOMIAN DECOMPOSITION METHOD WITH SECOND KIND CHEBYSHEV POLYNOMIALS
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초록
this paper proposes a method of employing the second kind Chebyshev polynomials to modify Adomian decomposition method. The method of using the second kind Chebyshev polynomials (Un(x)) to improve the Adomian decomposition method is introduced and compared to the method of using the first kind Chebyshev polynomials (Tn(x)). The proposed modified Adomian decomposition method is validated through two numerical examples. The reliability and advantages of this method are also discussed. This paper concludes that the second kind Chebyshev polynomials can be successfully used for the Adomian decomposition method with higher accuracy and efficiency.
Abstract
this paper proposes a method of employing the second kind Chebyshev polynomials to modify Adomian decomposition method. The method of using the second kind Chebyshev polynomials (Un(x)) to improve the Adomian decomposition method is introduced and compared to the method of using the first kind Chebyshev polynomials (Tn(x)). The proposed modified Adomian decomposition method is validated through two numerical examples. The reliability and advantages of this method are also discussed. This paper concludes that the second kind Chebyshev polynomials can be successfully used for the Adomian decomposition method with higher accuracy and efficiency.
참고문헌 (12)
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