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ZJUS-A
Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering)  2000, Vol. 1 Issue (3): 331-336    DOI: 10.1631/jzus.2000.0331
Science & Engineering     
SOLUTION OF NONLINEAR TWO-POINT BOUNDARY VALUE PROBLEMS BY GENERAL ORTHOGONAL POLYNOMIALS
SHAO Jian, Li Da-kan
Dept.of Mathematics, Zhejiang University, Hangzhou, 310027, China.
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Abstract  A proposed method for finding an approximate solution of the nonlinear ordinary differential equations two-point boundary value problem is proposed. It simplifies the problem approximately to a problem of solving a set of nonlinear algebraic equations. The basic idea of the method is to utilize the properties of orthogonal polynomials and the approximate operational matrices of the nonlinear functional f(x(t),u(t),t), and also the transformation matrix between the back vector and the current time vector for the general orthogonal polynomials. A method for solving the nonlinear two-point boundary value problems for descriptor systems is also given.

Key words： nonlinear systems      two-point boundary value problems      approximate solution      orthogonal polynomials     
Received: 13 September 1999     
CLC:  O241.81  
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SHAO Jian
Li Da-kan
Cite this article:

SHAO Jian, Li Da-kan. SOLUTION OF NONLINEAR TWO-POINT BOUNDARY VALUE PROBLEMS BY GENERAL ORTHOGONAL POLYNOMIALS. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2000, 1(3): 331-336.

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http://www.zjujournals.com/xueshu/zjus-a/10.1631/jzus.2000.0331     OR     http://www.zjujournals.com/xueshu/zjus-a/Y2000/V1/I3/331

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