A Block Solver of Variable Step Variable Order for Stiff ODEs
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Description
A block solver of variable step variable order (BSVSVO) is suggested for stiff ordinary
differential equations (ODEs). The block solver is employed to enhance the
performance for stiff ODEs via variable step variable order to achieve faster
convergence with better accuracy and lesser maximum error. Block solver is formulated
via interpolation and collocation together with power series as the basis function
approximation. The principal local truncation error (PLTE) of the block solver is
utilized to generate the convergence criteria. Some investigation of the theoretical
properties will be mentioned and analyzed. The block solver will be implemented using
some selected test problems and compared with existing methods to showcase the
convergence, high efficiency and accuracy thereby ensuring a better maximum error of
the suggested method.
Keywords
QA Mathematics