A new iterative computational scheme for solving second order (1 + 1) boundary value problems with non-homogeneous Dirichlet conditions

Nayar, Helena; Phiri, Patrick Azere

doi:10.1080/27684830.2024.2330170

Research in Mathematics

2024

DOI: 10.1080/27684830.2024.2330170

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A new iterative computational scheme for solving second order (1 + 1) boundary value problems with non-homogeneous Dirichlet conditions

Helena Nayar,

Patrick Azere Phiri

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Modification of DTM for Solving Multi-Interval Boundary Value Problems

Yücel,

Muhtarov,

Mukhtarov

2024

Turkish Journal of Mathematics and Computer Science

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Although the well-known differential transform method (DTM) is one of the effective methods for solving single-interval boundary value problems (SIBVPs), this method cannot be directly applied to multi-intervalboundary value transmission problems (MIBVTPs). In this study, we generalized the classical DTM so that it can be applied to solving not only SIBVPs but also MIBVTPs. To justify the effectiveness of the presented generalization of DTM, we solved two MIBVTPs for the three-interval differential equations and graphically compared the obtained approximate solutions with the corresponding exact solutions.

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Modification of DTM for Solving Multi-Interval Boundary Value Problems

Yücel,

Muhtarov,

Mukhtarov

2024

Turkish Journal of Mathematics and Computer Science

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show abstract

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A new iterative computational scheme for solving second order (1 + 1) boundary value problems with non-homogeneous Dirichlet conditions

Cited by 1 publication

References 19 publications

Modification of DTM for Solving Multi-Interval Boundary Value Problems

Modification of DTM for Solving Multi-Interval Boundary Value Problems

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