1. EQUIVALENT POWER-FORM TRANSFORMATION FOR FRACTAL BRATU'S EQUATION.
- Author
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ELÍAS-ZÚÑIGA, ALEX, PALACIOS-PINEDA, LUIS MANUEL, JIMÉNEZ-CEDEÑO, ISAAC H., MARTÍNEZ-ROMERO, OSCAR, and TREJO, DANIEL OLVERA
- Subjects
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TAYLOR'S series , *DIFFERENTIAL equations , *FRACTAL analysis , *NUMERICAL integration , *PHYSICAL laws , *EQUATIONS - Abstract
In this paper, an equivalent power-form transformation method with a weighted function is applied for solving the one-dimensional fractal Bratu's boundary value equation. Numerical integration solutions obtained from the equivalent Bratu's equation as well as those from its approximate Taylor's series solution reveal that the proposed methodology yields highly accurate solutions. Therefore, it is believed that by applying the power-form transformation, various fractal differential equations in which two scales are needed because of the physical laws involved in modeling the observed phenomena, can be solved by treating the nonlinear terms as equivalent power-form terms. [ABSTRACT FROM AUTHOR]
- Published
- 2021
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