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Detailed derivations of the method can be found in Ref. [12].
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In Section 3, we give derivation of the method.
For the derivation of the method, we simply follow the approaches given by Mohanty [14].
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In this paper, attention is being paid to the theoretical derivation of the method.
In the present paper, the mathematical derivation of the method is presented, with stress placed on peculiarities of the method when applied to transient half-space dynamics.
In this section, we will introduce the SIRT-FBP method by briefly explaining the derivation of the method as published in [24].
The linearised spectrum is obtained using a harmonics separation technique and the general derivation of the method is given for an arbitrary number of components.
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Our method has been derived directly from the consistency condition which is fourth-order accurate, and we have used properties of spline in compression function in derivation of the method.
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