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Solution Of A Problem For The Equation Of Oscillation Of The Longitudinally Stressed Rod By The Finite Difference Method

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  • ZAKIR F. KHANKISHIYEV

    (Department of Equations of Mathematical Physics, Baku State University, Baku, Azerbaijan)

Abstract

The paper considers a problem for the equation of oscillation of a longitudinally stressed rod, with boundary conditions containing partial derivatives of the desired function of high orders. It is known that when applying the finite difference method to solutions of problems for differential equations, difficulties arise in approximating the boundary conditions if they involve partial derivatives of the desired solution of high orders. Here, a method for constructing a difference problem that approximates the original problem with the second order of accuracy is given. A method for solving the constructed difference problem is investigated and an algorithm for solving this problem is given.

Suggested Citation

  • Zakir F. Khankishiyev, 2025. "Solution Of A Problem For The Equation Of Oscillation Of The Longitudinally Stressed Rod By The Finite Difference Method," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 33(06), pages 1-12.
    • Handle: RePEc:wsi:fracta:v:33:y:2025:i:06:n:s0218348x25401310
    DOI: 10.1142/S0218348X25401310
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