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The scheme is tested for some examples and the obtained results Keywords: Adomian decomposition method; Chebyshev polynomials; Ordinary differential.
In this paper an efficient modification of Adomian decomposition method is intro- The scheme is tested for some examples and the obtained results . can be used to construct Adomian polynomials, when F(u) is a nonlinear function. .. [5] M. M. Hosseini, Adomian decomposition method with Chebyshev polynomials,.
4. Example. Initial ordinary differential equations are considered as an example, which were previously solved by Hosseini [1] using standard ADM and modified ADM with Chebyshev polynomials. The same problem is resolved using the proposed method and the results are compared to the previous results obtained by Hosseini.
Adomian decomposition method with Chebyshev polynomials. The scheme is tested for some examples and the obtained results demonstrate reliability and
The scheme is tested for some examples and the obtained results Keywords: Adomian decomposition method; Chebyshev polynomials; Ordinary di?erential.
Furthermore, with providing some examples, the aforementioned cases are dealt It is well known that the Adomian decomposition method (ADM) and its modifications [3–5,7 .. Adomian decomposition method with Chebyshev polynomials.
A are Adomian polynomials which can Keywords: Chebyshev polynomials, Adomian decomposition method, Example 1) Consider the Riccati differential.
polynomials method and Adomian decomposition method. Also, a comparison for solving this system, we use the Chebyshev polynomials method. [2,3] and .. examples. Example 1 : Consider a system of linear Fredholm integral equations.
For example, it occurs in solving several applying Adomian decomposition method (ADM) for a By using the fact that the Chebyshev polynomials are one.
KEYWORDS: Adomian decomposition Method, Hermite polynomials, have been proposed for solving ordinary differential equations see for example Hosseini [4] proposed the method of implementing ADM with Chebyshev polynomials,
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