Meshless local radial basis function-based differential quadrature method is applied to 2-D conduction problem. Numerical results are compared with those gained by homotopy perturbation method. Outcomes are presented through graphs which prove the accuracy of homotopy perturbation method and its applicability in heat transfer problems.
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Soleimani, S., Ganji, D. D., Ghasemi, E., Jalaal, M., & Bararnia, H. (2011). Meshless local RBF-DQ for 2-D heat conduction: A comparative study. Thermal Science, 15(SUPPL.). https://doi.org/10.2298/TSCI11S1117S