线性插值公式在微积分求解中的应用  

Application of Linear Interpolation Formula in Calculus Solution

作　　者：薛洁 余芬[1] XUE Jie;YU Fen(Department of Basic Sciences,Bozhou Vocational and Technical College,Bozhou 236800,China)

机构地区：[1]亳州职业技术学院基础教学部,安徽亳州236800

出　　处：《辽东学院学报（自然科学版）》2022年第2期141-145,共5页Journal of Eastern Liaoning University:Natural Science Edition

摘　　要：提出一种使用线性插值公式的微积分求解方法。分析线性插值公式的适用性,设定微积分方程,并计算逼近微积分的近似值,解决微积分求解中的隐式通解问题。校正微积分求解误差,输出求解积分曲线,完成微积分求解。对比实验结果表明,提出的求解方法在实际应用中的数值解和精确解均逐渐减小,求解结果的精确度可达到小数点后6位。A calculus solution method using linear interpolation formula is proposed.The applicability of linear interpolation formula is analyzed,the calculus equation is set,and the approximate value of approximation calculus is calculated to solve the implicit general solution problem in calculus solution.Correct the error of calculus solution,output the integral curve and complete the calculus solution.The comparative experimental results show that the numerical solution and the accurate solution of the proposed solution method in practical application are gradually reduced,and the accuracy of the solution results can reach 10-6.

关 键 词：线性插值公式 高等数学 微积分 近似值 

分 类 号：O13[理学—数学]