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Doğrusal Olmayan ve Chebyshev Polinom Çözüm Fredholm-Volterra İntegro-Diferansiyel Denklemler (Seri B)

Chebyshev Polynomial Solution of Nonlinear Fredholm-Volterra Integro-Differential Equations (Series B)

Journal Name:

  • Çankaya University Journal of Arts and Sciences

Publication Year:

  • 2006

Key Words:

Keywords (Original Language):

Author NameUniversity of AuthorFaculty of Author
Abstract (2. Language): 
In this paper, a Chebyshev collocation method [1] is developed to find an approximate solution for nonlinear Fredholm-Volterra integro-differential equation. This method transforms the nonlinear Fredholm-Volterra integro-differential equation into the matrix equation with the help of Chebyshev collocation points. The matrix equation corresponds to a system of nonlinear algebraic equations with the unknown Chebyshev coefficients. Finally, some numerical examples are presented to illustrate the accuracy of the method.
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Abstract (Original Language): 
Bu çalışmada, lineer olmayan Fredholm-Volterra integro-diferansiyel denklemlerin yaklaşık çözümlerini bulmak için Chebyshev sıralama yöntemi [1] geliştirilmiştir. Bu yöntem lineer olmayan Fredholm-Volterra integro-diferansiyel denklemini, sıralama noktalarını kullanarak matris denklemine dönüştürür. Bu matris denklemi ise bilinmeyeni Chebyshev katsayıları olan lineer olmayan cebirsel denklem sistemine karşılık gelir.Çalışmanın sonunda yöntemin doğruluğunu göstermek için bazı sayısal örnekler sunulmuştur.
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  • 1
89-101
  • Turkish

REFERENCES

References: 

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