# ANALYSIS OF THE SPRUCE BUDWORM MODEL USING THE HEUN METHOD AND THIRD-ORDER RUNGE-KUTTA

• Irwan Irwan Mathematics Department, Science and Technology Faculty, UIN Alauddin of Makassar
• Muh Irwan Mathematics Department, Science and Technology Faculty, UIN Alauddin of Makassar
• Rosmaniar Rosmaniar Mathematics Department, Science and Technology Faculty, UIN Alauddin of Makassar
• Wahidah Alwi Mathematics Department, Science and Technology Faculty, UIN Alauddin of Makassar
• Risnawati Ibnas Mathematics Department, Science and Technology Faculty, UIN Alauddin of Makassar
Keywords: Heun, Runge-Kutta, Spruce Budworm Model

### Abstract

This study discusses the analysis of the Spruce Budworm model using numerical methods, namely the Heun method and the Third Order Runge-Kutta method.  The purpose of this study is to determine the numerical results of the Heun method and the Third Order Runge-Kutta method on the cypress caterpillar model and to determine the comparison of errors from the two methods, namely the Heun method and the Third Order Runge-Kutta method in analyzing the Spruce Budworm model.  The results of the study using the Heun method for the initial conditions at  years, for , the result obtained is  and . For the calculation result of the Spruce Budworm model using the third-order Runge-Kutta method, the result obtained is  and . while the error of Caterpillar Density    with the third-order Runge-Kutta method is bigger than the Heun method,  while the error of Branch Surface Area  and the error of Reserve Food  error using the Heun method bigger than using the third-order Runge-Kutta method.

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Published
2022-09-01
How to Cite
[1]
I. Irwan, M. Irwan, R. Rosmaniar, W. Alwi, and R. Ibnas, “ANALYSIS OF THE SPRUCE BUDWORM MODEL USING THE HEUN METHOD AND THIRD-ORDER RUNGE-KUTTA”, BAREKENG: J. Math. & App., vol. 16, no. 3, pp. 967-974, Sep. 2022.
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Articles