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초록· 키워드
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In this paper, we present a new method for solving a nonlinear
two-point boundary value problem with finitely many singularities.
Its exact solution is represented in the form of series in the reproducing
kernel space. In the mean time, the n-term approximation un(x) to
the exact solution u(x) is obtained and is proved to converge to the exact
solution. Some numerical examples are studied to demonstrate the
accuracy of the present method. Results obtained by the method are
compared with the exact solution of each example and are found to be in
good agreement with each other.
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참고문헌 (12)
참고문헌 신청
A. S. V. Ravi Kanth / 2004 / Higher order finite difference method for a class of singular boundary value problems / Applied Mathematics and Computation 155 (1) : 249 ~ 258
A. S. V. Ravi Kanth / 2005 / Cubic spline for a class of singular two-point boundary value problems / Applied Mathematics and Computation 170 (2) : 733 ~ 740
C. Li / 2003 / The exact solution for solving a class nonlinear operator equations in the reproducing kernel space / Applied Mathematics and Computation 143 (2) : 393 ~ 399
J. Wang / 1999 / Singular nonlinear boundary value problems arising in boundary layer theory / Journal of Mathematical Analysis and Applications 233 (1) : 246 ~ 256
M. K. Kadalbajoo / 2005 / Numerical solution of singular boundary value problems via Chebyshev polynomial and B-spline / Applied Mathematics and Computation 160 (3) : 851 ~ 8
A. S. V. Ravi Kanth / 2005 / Cubic spline for a class of singular two-point boundary value problems / Applied Mathematics and Computation 170 (2) : 733 ~ 740
C. Li / 2003 / The exact solution for solving a class nonlinear operator equations in the reproducing kernel space / Applied Mathematics and Computation 143 (2) : 393 ~ 399
J. Wang / 1999 / Singular nonlinear boundary value problems arising in boundary layer theory / Journal of Mathematical Analysis and Applications 233 (1) : 246 ~ 256
M. K. Kadalbajoo / 2005 / Numerical solution of singular boundary value problems via Chebyshev polynomial and B-spline / Applied Mathematics and Computation 160 (3) : 851 ~ 8
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