Application of finite difference method to develop land value map
Waljiyanto, Nurrohmat Widjajanti and Waruno Suryohadi
In the property taxation, land value map is used to identify the value of tax objects (parcels) when mass appraisal is applied. The problem in generating land value map rises because of their abstract boundary. The land value map is developed in the basis of land value data in the certain area. Generally the sample data of land transactions are very limited, this need to be developed a model to generate land value map. The research was intended to develop a land value map using a mathematical method called a finite difference. Sample data used in the research was a small part area in the north of Yogyakarta, Indonesia. The study area was divided into two dimensional grids map. After the finite difference method was applied every cross-point would have its characteristic which represent the land value. Land values surrounding the main road were established as the outer boundary conditions, whereas the impact of main road in the land value and the data samples were established as the inner boundary conditions. The finite difference calculation yielded an isovalue lines that representing the land values. Land value map was generated by overlaying the isovalue lines with the land parcel map. The result shows that the land value map indicates about 80% of land value resulted by the model are close to the actual values. The model also provides a smooth change in the boundary classes. This means that every land value zone class bounded one class lower or higher value.
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