Adapting Laplace residual power series approach to the Caudrey Dodd Gibbon equation

• Published in: Scientific reports Vol. 14; no. 1; p. 9772
• Main Authors: Abdelhafeez, Samy A., Arafa, Anas A. M., Zahran, Yousef H., Osman, Ibrahim S. I., Ramadan, Moutaz
• Format: Journal Article
• Language: English
• Published: London Nature Publishing Group UK 29.04.2024; Nature Publishing Group; Nature Portfolio
• Subjects: 639/166; 639/705; Calculus; Caudrey Dodd Gibbon equation; Differential equations; Fractional derivatives; Graphs; Humanities and Social Sciences; Laplace transform; Laplace transforms; Mathematics; multidisciplinary; Numerical results; Partial differential equations; Residual power series method; Science; Science (multidisciplinary); Residual power series method; Laplace transform; Caudrey Dodd Gibbon equation; Fractional derivatives; Numerical results

In real-life applications, nonlinear differential equations play an essential role in representing many phenomena. One well-known nonlinear differential equation that helps describe and explain many chemicals, physical, and biological processes is the Caudrey Dodd Gibbon equation (CDGE). In this pap...