TY - JOUR TI - Porous medium equation with Elzaki transform homotopy perturbation AU - Fatima Nahid AU - Shah Kamal AU - Abdeljawad Thabet JN - Thermal Science PY - 2023 VL - 27 IS - 101 SP - 1 EP - 8 PT - Article AB - We have shown how to solve 1-D fourth order parabolic linear PDE with varable coefficients in this article. We have applied the Elzaki transform homotopy pertur­bation method. It is used in conjunction with the homotopy perturbation approach in this method. To further showcase the Elzaki transform-homotopy perturbation technique's competence and reliability, we have provided solution the parabolic linear PDE. It was found that both HPM and Laplace decomposition method were similar when compared to resulting analytical solutions. Results suggest that the Elzaki transform in conjunction with the homotopy perturbation technique is capa­ble and practicable for use in these cases.