A Computational Algorithm for Solution of Population Models for Single and Interacting Species

In this paper, we present a computational technique based on Haar wavelet for two continuous population models (CPMs) regarding single and interacting species. The derivative involved in the population model is approximated using Haar functions in the Haar collocation technique, and the integration process is used to obtain the estimated solution for the unknown function involved in a population model. Also the error estimation of the proposed technique for CPMs for single and interacting species are given to check the accuracy of proposed technique. To demonstrate the accuracy of the proposed technique for single and interacting species, some examples are given. The rate of convergence is also estimated, which is approximately equal to 2, confirming the theoretical results. The results are compared with the exact solution, and the technique efficiency is demonstrated by measuring maximum absolute errors using different collocation points. The results show that Haar technique is simple and robust.

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