Advances and Applications in Discrete Mathematics
Volume 30, , Pages 87 - 102
(April 2022) http://dx.doi.org/10.17654/0974165822021 |
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DISCRETE LEAST SQUARE METHOD FOR SOLVING DIFFERENTIAL EQUATIONS
Salisu Ibrahim
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Abstract: This paper investigates the least squares approach for finding approximate solutions to differential equations using discrete method. Our goal is to develop efficient numerical method (discrete method) for solving ordinary differential equations (ODEs). The L2 norm along with the discrete least squares method (DLSM) has been used to obtain the least approximation error and numerical approximate solution, respectively. Some examples are given to support the explicit results.
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Keywords and phrases: discrete least square method (DLSM), L2 norm, differential equations.
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