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a new taylor series based numerical method: simple, reliable, and promising
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نویسنده
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he ji-huan ,verma lajja ,pandit biswajit ,verma amit k. ,agarwal ravi p.
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منبع
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journal of applied and computational mechanics - 2023 - دوره : 9 - شماره : 4 - صفحه:1122 -1134
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چکیده
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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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کلیدواژه
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taylor series ,singular boundary value problem ,kdv equation ,burgers' equation ,system of burgers equation
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آدرس
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soochow university, college of textile and clothing engineering, national engineering laboratory for modern silk, china. henan polytechnic university, school of mathematics and information science, china. xi'an university of architecture and technology, school of science, china, netaji subhas institute of technology (nsit), department of applied sciences, india, siksha ‘o’ anusandhan university, center for data science, institute of technical education and research (iter college), india, indian institute of technology patna, department of mathematics, india, texas a&m university- kingsville, department of mathematics, usa
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پست الکترونیکی
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ravi.agarwal@tamuk.edu
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Authors
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