This work innovatively solves the porous medium equation for the first time by using what is now called the “SEE transform.” This newly devised integral transform is employed in tandem with the homotopy perturbation method. The nonlinear part of the porous medium equations is skillfully treated by the homotopy perturbation approach, and solution to these equations are constructed with several examples to demonstrate the efficiency and dependability of combining the homotopy perturbation method with the SEE transform. Further outcome underscores the efficiency and practical appropriateness of combining the SEE transform with the homotopy perturbation technique in addressing these challenges.