Title of article :
A New Taylor Series based Numerical Method: Simple, Reliable, and Promising
Author/Authors :
He ، Ji-Huan National Engineering Laboratory for Modern Silk - College of Textile and Clothing Engineering - Soochow University , Verma ، Lajja Department of Applied Sciences - Netaji Subhas Institute Of Technology (NSIT) , Pandit ، Biswajit Center for Data Science, Institute of Technical Education and Research (ITER College) - Siksha ‘O’ Anusandhan University , Verma ، Amit K. Department of Mathematics - Indian Institute of Technology Patna , Agarwal ، Ravi P. Department of Mathematics - Texas A M University- Kingsville
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.
Keywords :
Taylor Series , Singular Boundary Value Problem , KDV equation , Burgers Equation , System of Burgers Equation
Journal title :
Journal of Applied and Computational Mechanics
Journal title :
Journal of Applied and Computational Mechanics
