Two Conservative Numerical Methods for Solving Initial Value Problems

Article ID

8P4N3

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Two Conservative Numerical Methods for Solving Initial Value Problems

Sen Xu
Sen Xu School of Computer and Data Science, Minjiang University, Fuzhou 350108, China
Jiabao Chen
Jiabao Chen
Junjiang Lai
Junjiang Lai
DOI

Abstract

According to the energy conservation equation, two novel conservative numerical methods are proposed for solving the second-order initial value problems. The C1-continuous piecewise-quadratic functions are also used to approximate the true solutions. A priori error estimate is derived under a linear force assumption of the initial value problems. Some numerical tests are conducted to verify the theoretical results.

Two Conservative Numerical Methods for Solving Initial Value Problems

According to the energy conservation equation, two novel conservative numerical methods are proposed for solving the second-order initial value problems. The C1-continuous piecewise-quadratic functions are also used to approximate the true solutions. A priori error estimate is derived under a linear force assumption of the initial value problems. Some numerical tests are conducted to verify the theoretical results.

Sen Xu
Sen Xu School of Computer and Data Science, Minjiang University, Fuzhou 350108, China
Jiabao Chen
Jiabao Chen
Junjiang Lai
Junjiang Lai

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Sen Xu. 2026. “. Global Journal of Science Frontier Research – F: Mathematics & Decision GJSFR-F Volume 24 (GJSFR Volume 24 Issue F2): .

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Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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GJSFR Volume 24 Issue F2
Pg. 37- 42
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Two Conservative Numerical Methods for Solving Initial Value Problems

Sen Xu
Sen Xu School of Computer and Data Science, Minjiang University, Fuzhou 350108, China
Jiabao Chen
Jiabao Chen
Junjiang Lai
Junjiang Lai

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