Solutions of random ordinary differential equations with laplace transform - Adomian decomposition method

mpositio is employ d to app oximate the solutions of ordinay dfferential Combine the Laplace Adomian Decomposition method (LTADM) for non-linear random ordinary differential equations is utilised in a novel way to obtain accurate equations withr ndom components W use a Normal dist ibu onto analyse the parameters and initial conditions of ordinary dfferential equations wth random solutions.The iterative implementation of the Laplace transform decomposition is employed to approximate the solutions of ordinary differential equations with random components. mp t U g th M that 13 3 p o th g h f th We use a Normal distribution to analyse the parameters and initial conditions of ordinary ppit l ti d b lut rot d A i ti ti is differential equations with random components. Using the Mathematica 13.3 programme, c d t dint th ff t f th o mal di t ibuti the lt of r d the graphs of the approximate solutions and absolute error are presented. An investigation c mpo e t differe ti l quai According h re ul f the i l is conducted into the effects of the normal distribution on the results of random component inv igati , hi hod is em ly ff iv T o ppli ati ns e differential equations. According to the results of the numerical investigations, this method p e d e amp e is extremely effective. Two applications are presented as examples of how the proposed ow th p p e h q an u e n technique can be utilised to obtain analytical or numerical solutions for certain kinds of a ay me cal ol t o kid f dAiffer n l random differential equations in order to demonstrate its efficacy and potential. equations in order to demonstrate its efficacy and potential.