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In this study, a singularly perturbed convection-dominated diffusion equation is solved by using a non-polynomial spline method. An example is solved to assess the accuracy of the method. The numerical results are obtained for different perturbed values ($\epsilon$ ) of equation. The results indicate that non-polynomial spline method is effectively implemented. It is seen that results are compatible with exact solutions and consistent with other existing numerical methods.

During the last 20 years, the northern and central part of the Kat county has been affected by many landslides. Especially in very wet years many landslides of different volumes occurred. These mainly affected the rocks which are well known for being prone to slope movements of many types of sizes. The bedrocks of the study area are metabasalts and sedimentary series. These rocks are overlain by younger alluvium and debris materials. Monitoring during the last seven years has indicated that the slopes are still ac...