Abstract

Abstract In order to solve the problems of financial accounting measurement quickly and accurately, this paper starts the analysis from the perspective of mathematics and finance and establishes the differential equation and the generalised functional equation for the related numerical analysis through mathematical knowledge. The results show that the limit and integral of rigid differential equation and the rigid generalised functional equation can improve their role and status in the financial accounting measurement environment so that they can be more widely used in the financial accounting measurement environment and promote the development of the financial accounting environment.

Highlights

  • With the expansion of the application field of the differential equation, it becomes very important to study the solution of the differential equation

  • With the widespread application of differential equations and generalised functional equations, the research process has gradually attracted the attention of the general financial accounting field

  • Koriga S et al solved the stability of numerical solutions of several types of nonlinear neutral functional integral and differential equations [10]

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Summary

Introduction

With the expansion of the application field of the differential equation, it becomes very important to study the solution of the differential equation. Differential equations have achieved breakthrough development in the fields of biology, rheology, chemical data processing, signal processing identification, control theory and financial accounting Their main principle is to convert them into equivalent integral equations using Green’s function, and when the nonlinear term satisfies certain conditions, we use the property of noncompactness measure and the fixed point theorem to prove the related problems of the solution, and the main idea used is the idea of transformation. The convergence order to the BDF method is limited, it has outstanding advantages, namely high practical calculation efficiency, extreme stability at the point of infinity leads to the rapid attenuation of the error of the rigid component This makes the BDF method known as the numerical method that has long been used to solve the rigid problem. Koriga S et al solved the stability of numerical solutions of several types of nonlinear neutral functional integral and differential equations [10]

Based on the general theory of rigid functional differential equations
Conclusion
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