مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

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Information Journal Paper

Title

A New Taylor Series based Numerical Method: Simple, Reliable, and Promising

Pages

  1122-1134

Abstract

 Taylor Series method is a simple analytical method, which is accessible to all non-mathematician, has slow convergence. This paper develops a new Taylor Series based numerical method to overcome the shortcoming of the Taylor Series while maintaining its simplicity. Some examples are given, showing its reliability and efficiency. The proposed method is also proved to be extremely effective for initial value problems and boundary value problems. The method provides a universal approach to various highly non-linear problems, and it sheds a bright light on numerical theories for practical engineering applications.

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