A new analytical algorithm based on modified homotopy perturbation transformmethod is employed for solving the transient flow\nof third grade fluid in a porous channel generated by an oscillating upper wall. This method incorporates the He�s polynomial into\nthe HPM, combined with Laplace transform. Comparison with HPM and OHAM analytical solutions reveals that the proposed\nalgorithm is highly accurate. This proves the validity and great potential of the proposed algorithm as a new kind of powerful\nanalytical tool for transient nonlinear problems. Graphs representing the solutions are discussed, and appropriate conclusions are\ndrawn.
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