Application of Linear Equation Systems in Banking Auditing

Albukhuttar, Athraa Neamah; Kadhim, Hayder N.; Almasoudi, Hussein A.

doi:10.1088/1742-6596/1963/1/012115

Cited by 2 publications

(5 citation statements)

References 4 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We solve his sys em of ordinary differen ial equa ion using Rung-Ku a for second and four h order on in ervel [0,0.5] and 0 as in Table (3): Table (1) The set solution of system (7) Example2:-To Solve the System .…”

Section: -Applicationmentioning

confidence: 99%

“…We solve his sys em of ordinary differen ial equa ion using Rung-Ku a for second and four h order on in ervel [0,1] and 0 2 as in Table (1): After solve above system by using (1) ln we get:…”

Section: -Applicationmentioning

confidence: 99%

“…The Euler equation is a model for the study of coefficient-variable equations used in modern economics and for calculating the cost of a given project. Some researchers have studied the Use Of Mathematical Systems in Cost Accounting by Hayder N Kadhim, Athraa N Albukhuttar and Maha S ALibrahimi and others extended their search to Application of Linear Equation Systems in Banking Auditing By Hussein A ALMasoudi Some of them solve Euler's equations with classical methods and others with integral transformations .Differential equation systems exist in many scientific domains, including economics, computing and mechanics [1,5]. In economics, we're going to show how important Euler's formula is for auditing.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Solving system of Euler's equations using Runge –Kutta methods

Al_Ameely,

Albukhuttar

2023

JUAPS

View full text Add to dashboard Cite

In this paper, linear systems with variable coefficients (Euler's equations) were solved using one of the numerical methods that are subject to initial conditions defined over a given period of time .The explicit Rung-Kutta method is the fastest and most common numerical method starting with an initial value, the Rung-Kutta second order and Rung-Kutta fourth order. Analytical solutions of systems (systems with variable coefficients and systems with constant coefficients) were compared with the results of approximate solutions of the numerical method (Rung-Kutta second order And fourth order) and find out the accuracy of the results obtained for this approximate method after applying the Rung-Kutta algorithms performed with the Matlab program and finding the ratio of relative error between the exact and approximate solutions of the numerical method used, as well as solving a number of linear systems of Euler's equations of the first order supporting your results. .

show abstract

Section: -Applicationmentioning

confidence: 99%

Section: -Applicationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Solving system of Euler's equations using Runge –Kutta methods

Al_Ameely,

Albukhuttar

2023

JUAPS

View full text Add to dashboard Cite

show abstract

“…This study explores the use of ordinary differential equation systems for cost calculation, considering the relationship between costs and activities, and accommodating an indefinite time span. This approach provides accountants with a modern tool for developing practical and effective future budgets for project costs [8].…”

Section: Introductionmentioning

confidence: 99%

“…Albukhuttar and Almasoudi [11] utilized systems of Euler's equations to model cost calculation problems in bank auditing. Meanwhile, Alshibley et al [12] introduced first-order fuzzy linear systems to calculate costs when the initial project cost is fuzzy over a certain time period.…”

Section: Introductionmentioning

confidence: 99%

Optimizing Budget Allocation Through First-Order Linear Differential Equations and Innovative Transform Techniques

Albukhuttar,

Alshamkhawii,

Kadhim

2023

MMEP

View full text Add to dashboard Cite

The resolution of a first-order mathematical system effectively tackles a wide range of physical problems. The technique illustrates that the quantity of authorised variables in the system may be depicted by the activities that need to be evaluated for cost, and that the system takes into consideration the connections between these costs. Mathematical systems adhere to primary conditions, resulting in derived solutions that are specific and reliant on a single independent variable representing the temporal aspect in cost computation. This enables the forecast of costs in future years. This study confronts the inadequacies found in traditional cost allocation methods used for organizational budgeting, often leading to a biased allocation of costs to departments, irrespective of their profitability. We introduce an innovative method that employs first-order linear differential equations to model the cost dynamics associated with various activities within an organization. Moreover, an innovative transformation technique is presented to solve these equation systems efficiently, thereby enabling a precise computation of activity-based costs over a three-year projection. The results illustrate that the proposed method provides a more precise and insightful budget allocation, suggesting potential applications for financial planning and management across diverse sectors.

show abstract

Application of Linear Equation Systems in Banking Auditing

Abstract: In this research, we use the Euler’s equation formula that constitutes a linear system and it’s application in bank audits. The solution of the systems can be obtained by Novel transformation.

Cited by 2 publications

References 4 publications

Solving system of Euler's equations using Runge –Kutta methods

Solving system of Euler's equations using Runge –Kutta methods

Optimizing Budget Allocation Through First-Order Linear Differential Equations and Innovative Transform Techniques

Contact Info

Product

Resources

About