Analytical solution of time-fractional Emden-Fowler equations arising in astronomy and mathematical physics

Scientific Reports, Journal Year: 2024, Volume and Issue: 14(1)

Published: Nov. 10, 2024

The time-fractional Emden-Fowler model is an interesting mathematical because it widely used and important in mathematics applied sciences. current investigation compiles the Elzaki transform homotopy perturbation method (ET-HPM) Laplace (LT-HPM) for analytical solution of considered model. In their developments, we show that fractional orders are simple to compute, resulting series lead accurate results after a few iterations. We consider context Caputo form. primary aim these approaches compare models under consideration. These schemes do not impose any constraints on parameters or make assumptions could complicate process obtaining results. derived outcomes convergent sequence with rapid iterative formula. graphical illustrations various confirm efficiency proposed approaches. also compared precise solutions, which our suggested simple, effective, accurate.

Language: Английский

A rational optimal block hybrid method for enhanced accuracy in solving Lane-Emden equations

Partial Differential Equations in Applied Mathematics, Journal Year: 2024, Volume and Issue: unknown, P. 101003 - 101003

Published: Nov. 1, 2024

Language: Английский